SOLUTION: the sum of three integers is 242. the second is three more than twice the first and the third is nine less that five times the first. what are the integers?

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Question 101929: the sum of three integers is 242. the second is three more than twice the first and the third is nine less that five times the first. what are the integers?
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y+Z=242
Y=2X+3
Z=5X-9
X+(2X+3)+(5X-9)=242
8X-6=242
8X=242+6
8X=248
X=248/8
X=31 ANSWER.
Y=2*31+3
Y=62+3
Y=65 ANSWER.
Z=5*31-9
Z=155-9
Z=146 ANSWER.
PROOF
31+65+146=242
242=242