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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.

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.

Grade:10

3 Answers

AKASH GOYAL AskiitiansExpert-IITD
419 Points
10 years ago

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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iit jee
44 Points
10 years ago

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.

siddhi bhutada
12 Points
7 years ago
this question is wrong

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