Question

At present asha's age in use to more than square of a daughter's nisha's age and dishes goes to her mother's present age of yours is would be one less than 10 times the present age of asia

Answer 1

Let the present age of Nisha = x years

Then, the present age or Asha = $\sf{( {x}^{2} + 2)years}$

When Nisha grows to her mother's present bage, the increase in age

= $\sf{( {x}^{2} + 2) - x = ( {x}^{2} - x + 2)years}$

After $\sf{( {x}^{2} - x + 2)years}$ ,Asha's age according to the question would be

$\sf{( {x}^{2} + 2) + ( {x}^{2} - x + 2) = 10x - 1}$

$\longrightarrow$$\sf{ {2x}^{2} - 11x + 5 = 0}$

$\longrightarrow$$\sf{(2x - 1)(x - 5) = 0}$

As x ≠ $\sf{\frac{1}{2}}$ ,so x = 5.

Hence, the present age of Nisha = 5 years

And the present age of Asha = $\sf{{5}^{2}+2}$ = 27 years