HCF and LCM of two numbers are 11 and 825 respectively. If one number is 275, find the other number.

We know the fundamental property of numbers that the product of two numbers is equal to the product of their HCF and LCM:
First Number×Second Number=HCF×LCM
Given:

HCF=11

LCM=825

First Number=275

Let the second number be x.

275×x=11×825
x=
275
11×825
​

Dividing 275 by 11:

11
275
​
=25
Now, substitute back to find x:

x=
25
825
​
=33
Thus, the other number is 33.