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At present Asha's age (in years) is 2 mo...

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.

Text Solution

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Let the nisha age =x year
Aasha age=2+x years
Difference of ages=`(x^2+2-x)` years
According to question
`x+(x^2+2-x)=10x-1-(1)` `2x^2=11x+5=0`
`2x(x-5)-1(x-5)=0`
`x=5`
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