Q: Find the ratio of the ages of a mother and daughter after five years given that their current age ratio is 9 : 5 and the product of their ages is 1125.

A 1:3
B 2:3
C 3:4
D 5:3
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Answer: D

M:D = 9:5
M*D = 1125

We can find the value of x by solving the second equation:

MD = 1125
M = 9x
D = 5x
9x5x = 1125
45x^2 = 1125
x^2 = 25
x = sqrt(25)
x = 5

Substituting this value back into the first equation,
 we get the ratio of their ages after five years:

M+5:D+5 = (9x+5):(5x+5) = (95+5):(55+5) = 50:30

So the ratio of their ages after five years is 5:3.

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