SOLUTION: A woman is 4times older than her daughter.6 years ago the product of their ages was 136.Find their present ages. The width of a rectangle is twice its length.Its area is 162cm s

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Question 1029803: A woman is 4times older than her daughter.6 years ago the product of their ages was 136.Find their present ages.
The width of a rectangle is twice its length.Its area is 162cm square.what are its dimensions

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Ydaughter,s age be X
Mother.s age will be 4x
6 years ago
Daughter was X-6 years
Mother was 4x-6 years
The product of their ages
(X-6)(4x-6) =136
4x^2-24x-6x+36=136
4x^2-30x+36=136
4x^2-30x-100=0
4x^2-40x+10x-100=0
4x(X-10)+10(X-10)=0
(4x+10)(X-10)=0
Either 4x+10=0 or X-10=0
So X= -10/4 or X=10
Age cannot be negative
Therefore X=10 , daughter,s age
Mother,s age =4x => 4x10=40 years