Question

Two numbers are in the ratio 7 : 11. If their HCF is 28, then sum of the two numbers is:
1. 112
2. 308
3. 504
4. 196

Answer 1

Correct Answer - Option 3 : 504

Given:

Ratio of numbers = 7 ∶ 11

HCF = 28

Calculation:

Let the numbers be 7x and 11x

HCF of 7x and 11x is x

HCF = x = 28

The numbers will be 7 × 28 and 11 × 28

⇒ The numbers will be 196 and 308

Sum of numbers = 196 + 308

⇒ Sum of numbers = 504

∴ Sum of numbers is 504