SOLUTION: A woman is Q years old while her son is P years old. The sum of their ages is equal to twice the difference of their ages. The product of their ages is 675. Find the equation of th

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Question 800135: A woman is Q years old while her son is P years old. The sum of their ages is equal to twice the difference of their ages. The product of their ages is 675. Find the equation of their the age of the woman and her son
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Q+P=2(Q-P)
Q+P=2Q-2P
Q-3P=0
QP = 675
Q=675/P
---
Q-3P=0
675/p -3p=0
675=-3p^2
3p^2=675
/3
p^2=225
p= +/- 15
Therefore P= 15
Now you can can complete