SOLUTION: The sum of two numbers is 112. The greater of the two is 32 less than 11 times the lesser number. Find the number?

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Question 129884: The sum of two numbers is 112. The greater of the two is 32 less than 11 times the lesser number. Find the number?
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
x+y=112 or x=112-y
y=11x-32
y=11(112-y)-32
y=1232-11y-32
y+11y=1232-32
12y=1200
y=1200/12
y=100 the greater number.
x=112-100
x=12 the lesser number.
proof:
100=11(112-100)-32
100=11(12)-32
100=132-32
100=100