At present Asha’s age (in years) is 2 more than the square of her daughter Nisha’s age. When Nisha grows to her mother’s present 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.

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Asha's present age 27 snd nisha's present age is 5 years

Answers

The Brainliest Answer!
2016-02-17T19:10:52+05:30
Let Nisha's present age be x years.
∴ Asha's age = ( x^{2} +2) years

Asha's present age = Nisha's later age
∴ Nisha's later age = ( x^{2} +2) years
∴ Asha's later age = (10x-1) years

Years that have past = Asha's later age - Asha's current age = [
( x^{2} +2)-x] years = ( x^{2} -x+2)

∴ Nisha's later age = Nisha's present age + Years past
=> 10x+1 =  x^{2} +2+ x^{2} +2-x
=> 0 = 2 x^{2} -11x+5
=> 0 = 2 x^{2} -10x-x+5
=> 0 = 2x(x-5)-1(x-5)
=> 0 = (2x-1)(x-5)
=> x = 1/2 years or 5 years
discarding fractional value
∴ Asha's present age = 5 years

∴ Nisha's present age =  (5)^{2} +2 = 27 years
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