SOLUTION: Three integers have a sum of 165. The first number is 12 less than twice the second. The third number is equal to the sum of the first and twice the second. Find the three numbers

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Question 942232: Three integers have a sum of 165. The first number is 12 less than twice the second. The third number is equal to the sum of the first and twice the second. Find the three numbers
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB%2BC=165
.
.
A=2B-12
.
..
C=A%2B2B
Substituting from above,
C=%282B-12%29%2B2B
C=4B-12
Now substitute into the first equation and solve for B,
2B-12%2BB%2B4B-12=165
7B=189
B=27
Then,
A=2%2827%29-12
A=54-12
A=42
and
C=42%2B2%2827%29
C=42%2B54
C=96