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Katen [24]
3 years ago
15

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?

Mathematics
1 answer:
arsen [322]3 years ago
4 0

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.

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