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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Let the present asha age is 2 more than the square of her daughter Nisha age.
asha age would be one year less than 10 times
the present age of nisha.
Find the present age of both Asha and
Nisha.
According to the question,
Let nisha age will be = x years
Asha age will be = x^2 + 2 years
according to the question,
when nisha grow their mother present age =
Asha present age - nisha present age
= x^2 + 2 - x
Then Asha age = Asha present age + growing time.
Therefore,
x^2 + 2 + x^2 + 2 - x = 2x^2 - x + 4
according to the question,
asha age = 10 Tim the age of nisha - 1
2x^2 - x + 4 = 10x - 1
2x^2 - 11x + 5 = 0
2x^2 - 10x - x + 5 = 0
2x ( x - 5 ) - 1 ( x - 5 ) = 0
( 2x - 1 ) ( x - 5 ) = 0
x = 1/2 and x = 5
1/2 age is not possible
Therefore,
x = 5
Nisha present age = 5 years
Asha present age = (5) ^2 + 2 = 27 years.
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