SOLUTION: The sum of three integers equal 53. If the first is doubled, the sum is 67. If the second is doubled, the sum is 71. Find the integers.

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Question 340180: The sum of three integers equal 53. If the first is doubled, the sum is 67.
If the second is doubled, the sum is 71. Find the integers.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
LEt the three integers be A,B, and C.
1.A%2BB%2BC=53
2.2A%2BB%2BC=67
3.A%2B2B%2BC=71
Subtract eq. 1 from eq. 2,
2A%2BB%2BC-A-B-C=67-53
highlight%28A=14%29
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.
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Subtract eq. 1 from eq. 3,
A%2B2B%2BC-A-B-C=71-53
highlight%28B=18%29
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.
.
From eq. 1,
14%2B18%2BC=53
highlight%28C=21%29