SOLUTION: Ana is five years older than Beth.In 5 years, the product of their age is 1.5 times the product of their present ages. How old is Beth now?

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Question 89606: Ana is five years older than Beth.In 5 years, the product of their age is 1.5 times the product of their present ages. How old is Beth now?
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
A=B+5
(A+5)*B=1.5(A*B) NOW REPLACE A BY (B+5) & SOLVE FOR A.
B(B+5)=1.5B(B+5)
B^2+5B=1.5B^2+7.5B
B^2-1.5B^2+5B-7.5B=0
-.5B^2-2.5B=0
B(-.5B-2.5)=0
.5B-2.5=0
.5B=2.5
B=2.5/.5
B=5 AGE OF BETH NOW.