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A girl is twice as old as her sister. fo...

A girl is twice as old as her sister. four years hence , the product of their ages (in years) will be 160 . Find their present ages?

Text Solution

Verified by Experts

Let age of the girl in years ` = 2x`
Then, age of her sister in years ` = x`
We are given,
`(x+4)**(2x+4) = 160`
`=>2x^2+12x+16 = 160`
`=>2x^2+12x-144 = 0`
`=>x^2+6x-72 = 0`
`=>x^2+12x-6x-72 = 0`
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