Question

When two of the three numbers are added at a time, the possible sums are 32, 39, 23. What is the sum of all three numbers?

Please explain.

Answer 1

47

Explanation:

Let a, b, and c be those three numbers.

When two of the three numbers are added at a time, the possible sums are 32, 39, 23. Let

`a+b=32\\ \\a+c=39\\ \\b+c=23`

Add these three equations:

`a+b+a+c+b+c=32+39+23\\ \\2a+2b+2c=94`

Divide this equation by 2:

`a+b+c=47`

The sum of all three numbers is 47.