Two numbers are in the ratio of 4 : 3. The product of their HCF and LCM is 2700. The difference between the numbers is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 15.
Two numbers are in the ratio of 4 : 3
Let the numbers be 4x and 3x
The product of their HCF and LCM is 2700
LCM × HCF = Product of two numbers
Calculation
4x × 3x = 2700
⇒ 12x2 = 2700
⇒ x2 = 225
⇒ x = 15
Hence, the difference between the numbers = 4x - 3x = x = 15