Question

HCF and LCM of two numbers is ‘a – b’ and ‘a + b’ respectively. If one number is ‘1 – b²/a²’, then find another number.
1. a²
2. a² – b
3. a
4. ab

Answer 1

Correct Answer - Option 1 : a²

GIVEN:

HCF and LCM of two numbers is ‘a – b’ and ‘a + b’ respectively.

One number = (1 – b²/a²)

CALCULATION:

We know that :

HCF × LCM = First number × Second number

(a – b) × (a + b) = [1 – (b²/a²)] × Second number

Second number = [(a – b) (a + b)]/[1 – (b²/a²)]

Second number = (a² – b²)/[(a² – b²)/a²)]

Second number = a²