Question

The H.C.F. of two numbers is $145$ and their L.C.M. is $2175$. If one of numbers is $725$, find the other.

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 $x$

$\begin{array}{rcl}Onenumber& =& \underline{H.C.F.\times L.C.M.}\\ & & Secondnumber\\ x& =& \frac{145\times 2175}{725}\\ & =& 435\end{array}$

Therefore, the other number is $435$.