Question

The HCF and LCM of two numbers are $44$ and $264$ respectively. The first number when divided by $2$ gives $44$ as quotient. Find the second number.

Answer 1

Step 1: First we have to calculate the first number:

$$\begin{gathered} \frac{Firstnumber}{2}=44 \\ Firstnumber=88 \end{gathered}$$

Step 2: Apply the formula:

Let $K$ be the other number.

$\begin{array}{rcl}HCF\times LCM& =& Productofnumbers\\ 44\times 264& =& 88\times K\\ K& =& 132\end{array}$

Hence, $132$ is the second number.