4 Numbers

Algebra Level 1

Numbers: 1 , 9 , 21 , 32 Operations: + , , × , ÷ , ( ) \begin{aligned} \text{Numbers: }&1,\ 9,\ 21,\ 32\\ \text{Operations: }&+,\ -,\ \times,\ \div,\ (\ ) \end{aligned}

Using all 4 of the above numbers, any of the 4 operations, and any number of parentheses, can you write an expression that equals 24?


Details and Assumptions:

  • Each number has to be used exactly once.
  • Each operation can be used as many times as desired.
  • No other operations are allowed: in particular, concatenation, square roots, factorials, etc.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Michael Huang
Jun 3, 2017

The solution for this problem is 32 ÷ ( 21 ÷ 9 1 ) 32 \div \left(21 \div 9 - 1\right)

That is the only combination that was found by the computer program I wrote.

Tough problem (assuming you don't just guess.)

Steven Perkins - 4 years ago

32/((21/9)-1)

Izidoro Elias - 3 years, 11 months ago

I fail to see it its 24.00006

Babis Papadopoulos - 3 years, 11 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...