If the sum of two numbers is multiplied by each number separately,the products so obtained are $247$ and $114$. The sum of the numbers is

Find the square root of $(2.25)^{2} + 16 - 4(2.25) - \frac{(2.25)^{3}}{2.25 + 4} ?$

$A$ fraction becomes $4$ when $1$ is added to both the numerator and denominator; and it becomes $7$ when $1$ is subtracted from both the numerator and denominator. The numerator of the given fraction is

If $50$ is subtracted from two-third of a number,the result is equal to the sum of $40$ and one-fourth of that number. What is the number?

The ratio between two numbers is $3:4$ and their sum is $420$. The greater of the two numbers is

The numerator and denominator of a fraction are in the ratio of $2:3$. If $6$ is subtracted from the numerator,the result is a fraction that has a value $\frac{2}{3}$ of the original fraction. The numerator of the original fraction is