SOLUTION: Please help me solve this word problem: What three numbers are added two at a time, the sums are 41, 50, and 65. What is the sum of all three numbers? THANK YOU!

Question 1009320: Please help me solve this word problem:

What three
numbers are added two at a time, the sums are 41, 50, and 65. What is the sum of all three numbers?
THANK YOU!

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What three
numbers are added two at a time, the sums are 41, 50, and 65. What is the sum of all three numbers?
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Let the numbers be a, b, and c.
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Equations:
a+ b = 41
a+ c = 50
b+ c = 65
--------
Subtract the 2nd equation from the 1st to get:
b - c = -9
--------
Add that to the 3rd equation to solve for "b"
2b = 56
b = 28
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Then a = 41-b = 41-28 = 13
And c = 65-28 = 37
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Cheers,
Stan H.
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