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?

Answer 1

Answer:

47

Step-by-step 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.