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.

## Answer This Question

## Related Questions

- Math - Lina is 4 years older than christy, five years from now , her age will be...
- math - Bert is 5 years older than twice the age of mario. Nine years ago, the ...
- Algebra - Zandile is 4 years older than Thoko.Four years ago the product of ...
- MATH - Solve each questions by age equation problem: 1. Jonathan is 3 years ...
- math - A. Brad is 12 years older than Sam . If Brad were 8 years older than he ...
- vivekanand H s SCHOOL - the difference of ages between 2 sisters is 10 years, 15...
- math - Miriam is four years older than Ricardo. 10 years ago she was 3 times as ...
- Math - In 5 years, Ana's age will be twice the age of her friend Jun. 5 years ...
- algebra - Seven years ago a women was four times old as her sons age at that ...
- Math - Ann is x years old and her sister is 2 years older. If the product of ...

More Related Questions