SOLUTION: the sum of three integers is 27. the sum of the first and second integers exceeds the third by 83. the third integer is 60 less than the first. find the three integers.

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Question 945508: the sum of three integers is 27. the sum of the first and second integers exceeds the third by 83. the third integer is 60 less than the first. find the three integers.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
x + y + z = 27
x + y = z + 83
z = x - 60

Substitute z into the first two equations.

2x + y = 87
x + y = x - 60 + 83 ----> y = 23

2x + 23 = 87
x = (87-23)/2 = 32

z = 32 - 60 = -28

solution: (x, y, z) = (32, 23, -28)