Two numbers are in the ratio 1 : 3. If the product of their HCF and LCM is 1200, then the numbers are ______ and _____.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 20, 60.
Let the numbers be x and 3x (since ratio is 1:3)
HCF × LCM = product of numbers = x × 3x = 3x²
Given: 3x² = 1200
⇒ x² = 400
⇒ x = 20
So, numbers are 20 and 60