Posted by **Noelle** on Thursday, September 10, 2009 at 9:16pm.

Dorthy is 6 years older than Ricardo. The product of their present age is twice what the product of their ages was 6 years ago. How old is Dorthy?

- math -
**Reiny**, Thursday, September 10, 2009 at 9:30pm
Ricardo's present age --- x

Dorothy's present age --- x+6

product of their present ages = x(x+6)

6 years ago:

Ricardo x-6

Dorothy x

product of their ages then = x(x-6)

x(x+6) = 2x(x-6)

solve for x, sub into x+6

- math -
**MathMate**, Thursday, September 10, 2009 at 9:32pm
Let D=age of Dorthy.

" Dorthy is 6 years older than Ricardo. "

Age of Ricardo = D-6

"The product of their present age"

D(D-6)

"is twice what the product of their ages was 6 years ago"

=2*((D-6)*(D-6-6))

Thus

D(D-6) = 2*((D-6)*(D-12))

Simplify and solve for D and reject the solution of D=6 because it is a trivial solution. Check the answer by substitution into problem data.

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