SOLUTION: If one-half of the bigger number is added to the smaller number, the result is 52. Find the numbers if the numbers differ by 35.

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Question 825751: If one-half of the bigger number is added to the smaller number, the result is 52. Find the numbers if the numbers differ by 35.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
x= the smaller number
x%2B35= the bigger number
%28x%2B35%29%2F2= one-half of the bigger number

x%2B%28x%2B35%29%2F2=52
Multiplying both sides times 2 we get
2x%2B2%28x%2B35%29%2F2=2%2A52
2x%2Bcross%282%29%28x%2B35%29%2Fcross%282%29=104
2x%2Bx%2B35=104
3x%2B35=104
3x=104-35
3x=69
x=69%2F3
highlight%28x=23%29 is the smaller number and
x%2B35=23%2B35=highlight%2858%29 is the bigger number.

Verification:
23%2B58%2F2=23%2B29=52