Question

At present Asha's age is 2 more than the square of her daughter Nisha's age . When Nisha grows to her mother's age ,Asha's age would be one year less than 10 times the present age of Nisha. Find the present ages of both asha and nisha

Answer 1

The step-by-step explanation is as follows.

Present age of Asha is 2+x2 yrs
Present age of Nisha is x yrs.
difference in asha 's and nisha 's ages = x2 + 2 - x
so , after x2 + 2 - x years....nisha will grow to asha 's age
now to calculate asha 's age when nisha 's age will be x2 + 2 , add x2 +2 to x2 + 2 - x ...!!
i.e. 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
asha 's age = x2 + 2 = 27

So Nisha's age = 5
Asha's age = 27

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