Question
Thu November 08, 2012 By:
 

at present asha's age in years is 2 more than he square of her daughter nisha's age. when nisha grows to her mothers age , asha would be on year less than 10 times the present age of nisha . find the present age of asha and nisha.

Expert Reply
Thu November 08, 2012

Let Nisha 's age be x

So Asha 's age will be x2 + 2

Difference in asha 's and nisha 's ages = x2 + 2 - x

By the given condition,
x2 + 2 + x2 + 2 - x = 10x -1

2x2 + 4 - x = 10x - 1

2x2 - 11x + 5 = 0

2x2 - 10x - 1x + 5 = 0

2x ( x -5 ) -1 ( x - 5) = 0

(2x - 1) (x - 5) = 0

so , x = 5 years = Nisha 's age

So, Asha 's age = x2 + 2 = 27

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