SOLUTION: One number is eight less than twice the other their sum is 100 what are the numbers

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Question 651092: One number is eight less than twice the other their sum is 100 what are the numbers
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let's x and y be the numbers
if the number x is eight less than twice the y, we have
x%2B8=2y........1
if their sum is 100,we have
x%2By=100...........2
now, we have to solve this system:
x%2B8=2y........1
-
x%2By=100...........2
______________________ we can subtract 2 from 1
x-x%2B8-y=2y-100
cross%28x%29-cross%28x%29%2B8-y=2y-100
8-y=2y-100
8%2B100=2y%2By
108=3y
108%2F3=y
highlight%2836=y%29...now find x
x%2By=100...........2
x=100-y
x=100-36
highlight%28x=64%29