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

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 = 145 ×2175/ 725 

= 435 

Hence, the other number is 435.

Given: HCF = 145

LCM = 2175

One of the two numbers = 725

Let another number be m.

To Find: The value of m

We know, product of two numbers = HCF × LCM

Substitute the values, we get

725 x m = 145 x 2175

m = (145 x 2175)/725 = 435

The number is 435. Answer!

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 = \(\frac{145\times2175}{725}\)

= 435 

Hence, the other number is 435.