Question

The LCM and HCF of two numbers are 4125 and 25 respectively. One number is 375. Find by how much is the second number less than the first ?

Answer 1

LCM = 4125
HCF = 25
1st Number = 375
Let, 2nd Number = x
We all know that, product of two numbers is equal to the product of LCM and HCF of these two numbers
So,
375 $\times$ x = 4125 $\times$ 25
x = ( 4125 $\times$ 25 ) / 375
x = ( 1,03,125 ) / 375
x = 275.

Difference of both numbers = 375 - 275 =100
Hence, Second number is 100 less than the first number.