Consider two numbers whose LCM + HCF = 504, and LCM - HCF = 456. If one of these two numbers is 96 , find the other number.

Correct option is C

Given:

LCM + HCF = 504

LCM - HCF = 456

One of the numbers = 96

Formula Used:

HCF$$\times$$​ LCM = Product of two numbers

Solution:

LCM + HCF = 504

LCM - HCF = 456

Solving we get LCM = 480 and HCF = 24

480 $$\times$$​ 24 = 96 $$\times$$​ x

x =$$\frac{480 \times 24}{ 96}$$​ = 120

The other number is 120