SOLUTION: a woman is 3times older than her daughter 8years ago the product of thier age was 112. find their age now

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Question 970976: a woman is 3times older than her daughter 8years ago the product of thier age was 112. find their age now
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
a woman is 3times older than her daughter 8years ago the product of thier age was 112. find their age now
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1 time older = 2x as old
2 times older = 3x as old
3 times older = 4x as old
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W = 4D
(W-8)*(D-8) = 112
(4D - 8)*(D - 8) = 112
(D - 2)*(D - 8) = 28
D^2 - 10D - 12 = 0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=148 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 11.0827625302982, -1.08276253029822. Here's your graph:

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Daughter's age now =~ 11.0827 years
Mother's age =~ 44.3308 years
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The solution is not in integers because the author of the problem thinks "3 times older" = 3 times as old.
The author should be a politician, a job that does not require him/her to know what he's talking about.
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