Dorothy is 6 years older than Ricardo. The product of their present ages is twice what the product of their ages was 6 years ago. How old is Dorothy?
A) 30 years old
B) 18 years old
C) 12 years old
D) 24 years old

Question

Quizplus · Accepted Answer

Let Ricardo's age be x. Then Dorothy's age is x + 6. The product of their ages is x(x + 6). Six years ago, their ages were x - 6 and x, and the product was (x - 6)x. The equation is x(x + 6) = 2(x - 6)x. Solving gives x = 18, so Dorothy is 18 + 6 = 24 years old.

Dorothy Is 6 Years Older Than Ricardo