Question

The HCF and LCM of two numbers are 8 and 48 respectively. if one of the numbers is 24, then the other number is

Answer 1

We know that H.C.F$\times$L.C.M$=$product of the numbers.

Let $x$ be the other number

$\Rightarrow 8\times 48=24\times x$

$\Rightarrow 24x=8\times 48$

$\Rightarrow x=\frac{8\times 48}{24}=8\times 2=16$

$\therefore$ the other number is $16$