The LCM and HCF of two numbers are 168 and 6 respectively. If one of the numbers is 24, find the other.

Question: The LCM and HCF of two numbers are 168 and 6 respectively. If one of the numbers is 24, find the other.

Solution:
Given that,
LCM and HCF of two numbers are 168 and 6

Let, the second number be x.

We know that,
product of two numbers = L.C.M × H.C.F of those numbers
⇒ 24 × x = 168 × 6
⇒ x = 1008/24
∴ x = 42

So, the other number is 42.