Question

Boris chooses three DIFFERENT numbers.

•The sum of the three numbers is 36.
•One of the numbers is a cube number.
•The other two numbers are factors of 20.
Find the three numbers chosen by Boris.
Write the numbers in ascending order.
(Can someone please also explain this? Thank you)

Answer 1

4, 5, 27.

Explanation:

Let us find our numbers using given information.

Factors of 20 are: 1,2,4,5,10 and 20.

Let us try by taking number 4 and 5.

`36-(4+5)=36-9=27`

We can see that
`3^(3) =27`

Now let us find sum of these numbers.

`4+5+27=36`

Therefore, numbers chosen by Boris will be 4, 5 and 27 as these numbers satisfies our all conditions.