Friday, 17 May 2013

mathematics - How to make 21?


How do you make $21$ from the numbers $1$, $5$, $6$, and $7$?



  • You can use the operations of addition, subtraction, multiplication and division, as well as brackets.

  • You must use each number exactly once.

  • You cannot juxtapose numbers (i.e., 1 and 5 cannot be used as 15).




Answer



If this is an acceptable question, here is the answer:



$$\frac{6}{1-\frac{5}{7}}=21$$



This is a pretty well known problem that, while the math obviously works, is unintuitive enough that it is sometimes difficult to solve the first time you see it.


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