Use two 8's, two 3's to make the number 24
$begingroup$
Use two $8$'s, two $3$'s to make the number $24$.
I don't know how to start besides just trying to find the corect answer. Is there a way you can make this equation through small steps or I should just bruteforce it?
mathematics lateral-thinking formation-of-numbers
edited 35 mins ago
Hugh
2,1291925
asked 39 mins ago
user9888273user9888273
1
New contributor
user9888273 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
Use two $8$'s, two $3$'s to make the number $24$.
I don't know how to start besides just trying to find the corect answer. Is there a way you can make this equation through small steps or I should just bruteforce it?
mathematics lateral-thinking formation-of-numbers
edited 35 mins ago
Hugh
2,1291925
asked 39 mins ago
user9888273user9888273
1
New contributor
user9888273 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
$begingroup$
Please clarify: what operations can be used? Addition, subtraction, multiplication, division? Can we concatenate numbers? Etc, etc.
$endgroup$
– Hugh
34 mins ago
$begingroup$
Also—hasn't this been asked before?
$endgroup$
– Hugh
21 mins ago
add a comment |
$begingroup$
Use two $8$'s, two $3$'s to make the number $24$.
I don't know how to start besides just trying to find the corect answer. Is there a way you can make this equation through small steps or I should just bruteforce it?
mathematics lateral-thinking formation-of-numbers
edited 35 mins ago
Hugh
2,1291925
asked 39 mins ago
user9888273user9888273
1
New contributor
user9888273 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
Use two $8$'s, two $3$'s to make the number $24$.
I don't know how to start besides just trying to find the corect answer. Is there a way you can make this equation through small steps or I should just bruteforce it?
mathematics lateral-thinking formation-of-numbers
mathematics lateral-thinking formation-of-numbers
edited 35 mins ago
Hugh
2,1291925
asked 39 mins ago
user9888273user9888273
1
New contributor
user9888273 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 35 mins ago
Hugh
2,1291925
asked 39 mins ago
user9888273user9888273
1
New contributor
user9888273 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 35 mins ago
Hugh
2,1291925
edited 35 mins ago
Hugh
2,1291925
edited 35 mins ago
Hugh
2,1291925
2,1291925
asked 39 mins ago
user9888273user9888273
1
New contributor
user9888273 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 39 mins ago
user9888273user9888273
1
asked 39 mins ago
user9888273user9888273
1
1
New contributor
user9888273 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
user9888273 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
user9888273 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$begingroup$
Please clarify: what operations can be used? Addition, subtraction, multiplication, division? Can we concatenate numbers? Etc, etc.
$endgroup$
– Hugh
34 mins ago
$begingroup$
Also—hasn't this been asked before?
$endgroup$
– Hugh
21 mins ago
add a comment |
$begingroup$
Please clarify: what operations can be used? Addition, subtraction, multiplication, division? Can we concatenate numbers? Etc, etc.
$endgroup$
– Hugh
34 mins ago
$begingroup$
Also—hasn't this been asked before?
$endgroup$
– Hugh
21 mins ago
$begingroup$
Please clarify: what operations can be used? Addition, subtraction, multiplication, division? Can we concatenate numbers? Etc, etc.
$endgroup$
– Hugh
34 mins ago
$begingroup$
Please clarify: what operations can be used? Addition, subtraction, multiplication, division? Can we concatenate numbers? Etc, etc.
$endgroup$
– Hugh
34 mins ago
$begingroup$
Also—hasn't this been asked before?
$endgroup$
– Hugh
21 mins ago
$begingroup$
Also—hasn't this been asked before?
$endgroup$
– Hugh
21 mins ago
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
Here is a solution that uses only "elementary" operations (addition, subtraction, multiplication, and division).
$8 div (3 - (8 div 3))$ (or alternatively $frac{8}{3 - frac{8}{3}}$)
$= 8 div frac{1}{3}$
$= 24$
If we allow square roots, a simpler solution is possible.
$sqrt{8 times 8 times 3 times 3}$
$= 8 times 3$
$= 24$
In fact, there are many more solutions if you allow more operations.
answered 34 mins ago
HughHugh
2,1291925
$endgroup$
add a comment |
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "559"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
user9888273 is a new contributor. Be nice, and check out our Code of Conduct.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fpuzzling.stackexchange.com%2fquestions%2f80039%2fuse-two-8s-two-3s-to-make-the-number-24%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Here is a solution that uses only "elementary" operations (addition, subtraction, multiplication, and division).
$8 div (3 - (8 div 3))$ (or alternatively $frac{8}{3 - frac{8}{3}}$)
$= 8 div frac{1}{3}$
$= 24$
If we allow square roots, a simpler solution is possible.
$sqrt{8 times 8 times 3 times 3}$
$= 8 times 3$
$= 24$
In fact, there are many more solutions if you allow more operations.
answered 34 mins ago
HughHugh
2,1291925
$endgroup$
add a comment |
$begingroup$
Here is a solution that uses only "elementary" operations (addition, subtraction, multiplication, and division).
$8 div (3 - (8 div 3))$ (or alternatively $frac{8}{3 - frac{8}{3}}$)
$= 8 div frac{1}{3}$
$= 24$
If we allow square roots, a simpler solution is possible.
$sqrt{8 times 8 times 3 times 3}$
$= 8 times 3$
$= 24$
In fact, there are many more solutions if you allow more operations.
answered 34 mins ago
HughHugh
2,1291925
$endgroup$
add a comment |
$begingroup$
Here is a solution that uses only "elementary" operations (addition, subtraction, multiplication, and division).
$8 div (3 - (8 div 3))$ (or alternatively $frac{8}{3 - frac{8}{3}}$)
$= 8 div frac{1}{3}$
$= 24$
If we allow square roots, a simpler solution is possible.
$sqrt{8 times 8 times 3 times 3}$
$= 8 times 3$
$= 24$
In fact, there are many more solutions if you allow more operations.
answered 34 mins ago
HughHugh
2,1291925
$endgroup$
Here is a solution that uses only "elementary" operations (addition, subtraction, multiplication, and division).
$8 div (3 - (8 div 3))$ (or alternatively $frac{8}{3 - frac{8}{3}}$)
$= 8 div frac{1}{3}$
$= 24$
If we allow square roots, a simpler solution is possible.
$sqrt{8 times 8 times 3 times 3}$
$= 8 times 3$
$= 24$
In fact, there are many more solutions if you allow more operations.
answered 34 mins ago
HughHugh
2,1291925
edited 25 mins ago
answered 34 mins ago
HughHugh
2,1291925
answered 34 mins ago
HughHugh
2,1291925
answered 34 mins ago
HughHugh
2,1291925
2,1291925
add a comment |
add a comment |
user9888273 is a new contributor. Be nice, and check out our Code of Conduct.
user9888273 is a new contributor. Be nice, and check out our Code of Conduct.
user9888273 is a new contributor. Be nice, and check out our Code of Conduct.
user9888273 is a new contributor. Be nice, and check out our Code of Conduct.
Thanks for contributing an answer to Puzzling Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fpuzzling.stackexchange.com%2fquestions%2f80039%2fuse-two-8s-two-3s-to-make-the-number-24%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
$begingroup$
Please clarify: what operations can be used? Addition, subtraction, multiplication, division? Can we concatenate numbers? Etc, etc.
$endgroup$
– Hugh
34 mins ago
$begingroup$
Also—hasn't this been asked before?
$endgroup$
– Hugh
21 mins ago