Question

The H.C.F. and L.C.M. of two numbers are $32$ and $192$. One number is $48$. Find other number.

Answer 1

Step 1: Understanding the property of H.C.F. and L.C.M.

The product of H.C.F. and L.C.M. of two numbers is equal to product of two numbers.

Step 2: Finding the other number.

Let the other number be $x$.

$\begin{array}{rcl}Onenumber& =& \underline{H.C.F.\times L.C.M.}\\ & & Secondnumber\\ x& =& \frac{32\times 192}{48}\\ & =& 128\end{array}$

Therefore, the other number is $128$.