Dear Jayati

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

All the best.                                                           

AKASH GOYAL

AskiitiansExpert-IIT Delhi

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hi

let nishas present age be x.

then ashas age is 2+x2.

then nishas age after x2 -x+2 yrs will be 2+x2.

therefore ashas age after x2-x+2 will be 2x2-x+4yrs.

2x2-x+4=10x+1

solving this we get x as 5.

there fore nishas age is 5 and that of asha is 27

plzz approve if you like the answer.