SOLUTION: Rosalyn is 7 years older than chris. In 5 years' time the product of their ages will be 588. find chris and rosalyn's ages now.

Question 888322: Rosalyn is 7 years older than chris. In 5 years' time the product of their ages will be 588. find chris and rosalyn's ages now.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let r = R's age
let c = C's age
;
write an equation for each statement
:
Rosalyn is 7 years older than chris.
r = c + 7
:
In 5 years' time the product of their ages will be 588.
(r+5)(c+5) = 588
replace r with (c+7)
(c+7 + 5)(c+5) = 588
(c+12)(c+5) = 588
FOIL
c^2 + 5c + 12c + 60 - 588 = 0
c^2 + 17c - 528 = 0
You can us the quadratic formula, but this will factor to
(c+33)(c-16) = 0
the positive solution is all we want here
c = 16 yr is C's age
then
16 + 7 = 23 yrs is R's age
:
:
See if that checks out, in five years time:
21 * 28 = 588

RELATED QUESTIONS
Andy is 5 years older than Chris in 3 years the sum of their ages will be 35. what are... (answered by aaronwiz)

Andy is 5 years older than Chris in 3 years the sum of their ages will be 35. what are... (answered by colliefan)

Chris is six years older than Cathy. In two years, Chris will be twice as old as Cathy.... (answered by mananth)

Nono is Five years older than his twin sisters. The sum of the ages of the twins three... (answered by lwsshak3)

Chris is 6 yrs older than kathy. In 2 yrs Chris will be twice s old as kathy. Find their... (answered by stanbon)

Aaron is three years older than Ben and Ben is three years older than Chris. The sum of... (answered by Edwin McCravy)

Chris is five years older than his sister. The sum of their ages is 39. Find Chris's... (answered by TimothyLamb)

Mary is 16 years older than Dana, and Dana is 13 years younger than Chris. If the sum of... (answered by Fombitz)

The sum of the present ages of Vatha and Chris is 36. In 4 years time, the sum of their... (answered by ankor@dixie-net.com)