# The HCF of two numbers is 145 and their LCM is 2175.

Question:

The HCF of two numbers is 145 and their LCM is 2175. If one of the numbers is 725, find the other.

Solution:

HCF of two numbers = 145
LCM of two numbers = 2175
Let one of the two numbers be 725 and other be x.

Using the formula, Product of two numbers = HCF × LCM
we conclude that

725 × x = 145 × 2175

$x=\frac{145 \times 2175}{725}$

= 435

Hence, the other number is 435.