Question

The HCF and LCM of two numbers are 33 and 264 respectively. When the first number is completely divided by 2 the quotient is 33. The other number is _______.

Answer 1

It is given that the first number is completely divided by 2 the quotient is 33,

∴ First number = 2 × 33 + 0 = 66

Let the other number be x.

Now,
Product of two numbers = LCM × HCF

⇒ 66 × x = 264 × 33

$$\begin{gathered} \Rightarrow x=\frac{264\times 33}{66} \\ \Rightarrow x=\frac{264}{2} \\ \Rightarrow x=132 \end{gathered}$$

Hence, the other number is 132.