Examine whether the following equation is quadratic or not: $(3x + 1)(3x + 2) = (9x - 1)(x + 1)$

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 (in $years$).

Examine whether the following equation is quadratic or not: $(x-2)^{2}+1=2x-3$.

Which one of the following is not a quadratic equation?

$120$ kites were divided equally among a certain number of children in a school. If there were $4$ children fewer,each child would have received $1$ kite more. Find the number of children.

The product of the digits of a two-digit number is $14$. The number obtained by interchanging the digits is $45$ more than the original number. Find the original number.