At present Asha’s age in years is 2 more than square of Nisha’s current age. When Nisha grows to Asha’s current age, Asha’s age will be 1 year less than 10 times present age of Nisha.

Question

At present Asha’s age in years is 2 more than square of Nisha’s current age. When Nisha grows to Asha’s current age, Asha’s age will be 1 year less than 10 times present age of Nisha. Find the present age of Nisha. Note all ages are in years

Answer 1

a = n^2 + 2

when n becomes a's current age n+a-n=a

a will be 10 time's n's age - one year =2a-n

10n -1 = 2a-n

11n= 1+2(n^2+2)

2n^2 -11n +5 = 0

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

n=5 or 1/2

a = 5^2 +2 = 27

when n becomes 27 it will be 22 years later and a becomes 49

49 = 10(5)-1

nisha is 5 years old now

asha is 27 years old now

in 22 years nisha is 27

in 22 years asha is 49

49 is (10 times 5) minus 1

or nisha is 1/2 year old now

asha is 2 1/4 years old now

when nisha becomes 2 1/4 years old that will be in 1 3/4 years when asha become 4 years old

4 = 10(1/2) -1 = 5-1