SOLUTION: A number is three less than half the other. If their product is 540, what are the numbers?

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Question 1042887: A number is three less than half the other. If their product is 540, what are the numbers?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A=B%2F2-3
A%2AB=540
Substituting,
%28B%2F2-3%29B=540
B%5E2%2F2-3B=540
B%5E2-6B-1080=0
%28B-36%29%28B%2B30%29=0
Two solutions,
B-36=0
B=36
Then,
A=36%2F2-3
A=18-3
A=15
and
B%2B30=0
B=-30
Then,
B=-30%2F2-3
B=-15-3
B=-18