Question

If the LCM and HCF of the two numbers is 792 and 9 respectively, and one number is 72, then find the sum of these two numbers.
1. 99
2. 171
3. 121
4. 102

Answer 1

Correct Answer - Option 2 : 171

Given:

LCM of two numbers = 792

HCF of two numbers = 9

One number = 72

Formula Used:

LCM × HCF = One number × another number

Calculation:

Let the another number be ‘A’

LCM × HCF = One number × another number

⇒ 792 × 9 = 72 × A

⇒ A = 792 × 9/72

⇒ A = 11 × 9

⇒ A = 99

Sum of these two numbers = 72 + 99

⇒ 171

∴ The sum of these two numbers is 171.