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. Ans - Nisha age - 5, Asha age - 27. But how ? Please solve this.

							
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
 

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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.
						

							this question is wrong