SOLUTION: Find three numbers whose sum is 62, if the first number is three times the difference between the second and the​ third, and the second number is two more than twice the thir

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Question 1083107: Find three numbers whose sum is 62, if the first number is three times the difference between the second and the​ third, and the second number is two more than twice the third
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
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SOLUTION: 33, 20, 9
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Numbers x, y, z
assuming z%3Cy,
system%28x%2By%2Bz=62%2Cx=3%28y-z%29%2Cy=2z%2B2%29

-
x=3%282z%2B2-z%29
x=3%28z%2B2%29
x=3z%2B6

Substitute for x and y:
3z%2B6%2B2z%2B2%2Bz=62
.
.
.
z=9