The sum of two numbers is $100$ and their difference is $37$. The difference of their squares is

The reciprocal of the sum of the reciprocals of $\frac{6}{5}$ and $\frac{3}{7}$ is:

Rachita enters a shop to buy ice-creams,cookies,and pastries. She has to buy at least $9$ units of each. She buys more cookies than ice-creams and more pastries than cookies. She picks up a total of $32$ items. How many cookies does she buy?

Two numbers differ by $5$. If their product is $336$,then the sum of the two numbers is

$\frac{601}{49} \times \frac{399}{81} \div \frac{29}{201} = ?$

The product of three consecutive even numbers is $4032$. The product of the first and the third number is $252$. What is five times the second number?