SOLUTION: Separate 150 into two parts such that 4 times the larger exceeds (is more that) 5 times the smaller by 60.

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Question 125276: Separate 150 into two parts such that 4 times the larger exceeds (is more that) 5 times the smaller by 60.
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
x+y=150 or x=150-y
4x=5y+60
4(150-y)=5y+60
600-4y=5y+60
-9y=60-600
-9y=-540
y=-540/-9
y=60 answer for the smaller number.
x=150-60
x=90 answer for the larger number.
proof.
4*90=5*60+60
360=300+60
360=360