9. At present Asha's age (in years) is 2 more than the square of her d

1.	9. At present Asha's age (in years) is 2 more than the square of her daughter Nisha's ageWhen Nisha grows to her mother's present age, Asha's age would be one year less than10 times the present age of Nisha. Find the present ages of both Asha and Nisha.[NCERT EXEMPLARÄ°
Answer» let Asha age=A and Nisha age= N A=2 + N2.......(1) present difference in age A-N years , so nisha will be of his mom's age after A-N years After A-N years his mother's age = A+A-N = 2A-N Now fron question 2A-N = 10N -1 2A=11N-1 Put value of A from equation 1 4+2N2= 11N-1 2N2-11N+5=0 (2N-1)(N-5)=0 N=5, A=2+25=27

9. At present Asha's age (in years) is 2 more than the square of her daughter Nisha's ageWhen Nisha grows to her mother's present age, Asha's age would be one year less than10 times the present age of Nisha. Find the present ages of both Asha and Nisha.[NCERT EXEMPLARÄ°

Answer»

let Asha age=A and Nisha age= N

A=2 + N2.......(1)

present difference in age A-N years , so nisha will be of his mom's age after A-N years

After A-N years his mother's age = A+A-N = 2A-N

Now fron question

2A-N = 10N -1

2A=11N-1

Put value of A from equation 1

4+2N2= 11N-1

2N2-11N+5=0

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

N=5, A=2+25=27