Answer:
4,5,27
Problem:
Boris chose three different numbers.
The sum of the three numbers is 36.
One of the numbers is a perfect cube.
The other two numbers are factors of 20.
Step-by-step explanation:
Let's pretend those numbers are:
.
We are given the sum is 36: .
One of our numbers is a perfect cube. where
is an integer.
The other two numbers are factors of 20. and
where
.
From here I would just try to find numbers that satisfy the conditions using trial and error.
So I have found a triple that works:
The numbers in ascending order is:
