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  • A girl is twice as old as her sister after 5 yrs the product of their age will be 150 find there present age

A girl is twice as old as her sister after 5 yrs the product of their age will be 150 find there present age

Answers (1)

Assume the age the girl an her sister is 2x, x years resoectively.

ATQ
(2x +5) (x+5) = 150

2x2 + 10x + 5x + 25 = 150 

2x2 + 15x + 25 - 150 =0

2x2 + 15x - 125 =0

2x2 + 25x -10 x - 125 =0

x(x+25) - 5( x+25) =0

(x-5) (x+25)=0

x = 5 ,  x =-25 (negative age is not possible)

Present age of the girl is 10 years and her sister' age is 5 years.

Posted by

Ravindra Pindel

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