Ages

Let the age of Asha = z years and that of Nisha be = x years. Then as per the given condition that the present day age of Asha is 2 more than square of the age of her daughter Nisha which means $z = 2 +x^{2}$

After ' m ' years the age of Nisha is same as that of Asha's present age that would give us $z = x + m$ Also the age of Asha after ' m ' years would be (as for the given conditions 1 less than 10 times her daughter's (Nisha's) present age which gives) $z + m = 10 x - 1$

The later stage 2 equations gives us $2 z = 11 x - 1$

Now inserting the value of z from the above equation in first equation we get the following quadratic in x . $2 x^2 - 11 x + 5 = 0$ The quadratic gives 2 solutions for x which are $x = 5 , \frac{1}{2}$

Now considering the case of Homo sapiens and assuming the age of Nisha as 5 years we get age of her mother Asha (present age) = 27 years Otherwise considering case of age of Nisha as 0.5 years it would result into age of Asha as 2.25years

did in the same way