math
posted by Noelle .
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?

Ricardo's present age  x
Dorothy's present age  x+6
product of their present ages = x(x+6)
6 years ago:
Ricardo x6
Dorothy x
product of their ages then = x(x6)
x(x+6) = 2x(x6)
solve for x, sub into x+6 
Let D=age of Dorthy.
" Dorthy is 6 years older than Ricardo. "
Age of Ricardo = D6
"The product of their present age"
D(D6)
"is twice what the product of their ages was 6 years ago"
=2*((D6)*(D66))
Thus
D(D6) = 2*((D6)*(D12))
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.
Respond to this Question
Similar Questions

math
A. Brad is 12 years older than Sam . If Brad were 8 years older than he is now. he would be twice as old as Sam. How old is Sam now? 
vivekanand H s SCHOOL
the difference of ages between 2 sisters is 10 years, 15 years ago elder 1 was twice as old as younger age. find the both present age? 
math
Miriam is four years older than Ricardo. 10 years ago she was 3 times as old as Ricardo was then. A) How old are they now B) determine whether your answer is correct by checking that it satisfies the conditions of the problems 
math
Bert is 5 years older than twice the age of mario. Nine years ago, the sum of their ages is 50. How old is each now? 
Math
Lina is 4 years older than christy, five years from now , her age will be twice Christy's age 4 years ago. What are their present ages? 
MATH
Solve each questions by age equation problem: 1. Jonathan is 3 years older than Alvin. In 7 years, Alvin's age will be 6/7 of Jonathan's age. How old are they now? 
Algebra
Zandile is 4 years older than Thoko.Four years ago the product of their ages was 165.find their present ages 
Algebra
Four years ago, twice Athena's age was five less than her cousin's age. At present, the age of Athena's cousin is 18 years less than thrice Athena's age. What are their ages now? 
math
five years ago, a mother was twice as old as her son. In 6 years time, the sum of their ages will be 82. Fiind their present age. 
math
Justin is 3 years older then Sam, and Justin’s age in 2 years will be twice what Sam’s age was 3 years ago. Find their present ages. i got 14 and 17 but the answer is wrong