Correct Answer - Option 1 : 33
Given:
The ratio of two numbers is 5 ∶ 6
The product of their HCF and LCM is 270
Formula used:
Product of two numbers = HCF × LCM
Calculation:
Let the numbers be 5x and 6x
Product of them = 5x × 6x = 30x2
⇒ 30x2 = 270
⇒ x2 = 9
⇒ x = 3
Now, the sum of them = (5x + 6x) = 11x
After putting the value of x
⇒ 11 × 3
⇒ 33
∴ The sum of the two numbers is 33