SOLUTION: the sum of three numbers is 62. the second is 5 more than the smallest and the third is 8 less than the second. find the numbers.

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Question 801274: the sum of three numbers is 62. the second is 5 more than the smallest and the third is 8 less than the second. find the numbers.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
let’s three numbers be x, y, z
given:
x%2By%2Bz=62
the second is 5 more than the smallest => y=x%2B5
the third is 8 less than the second =>+z=y-8 or z=%28x%2B5%29-8=x-3
x%2By%2Bz=62 ....substitute y=x%2B5 and z=x-3
x%2Bx%2B5%2Bx-3=62
3x%2B2=62
3x=62-2
3x=60
highlight%28x=20%29
y=x%2B5+ => highlight%28y=25%29
and
z=x-3=>highlight%28z=17%29