Two numbers are in the ratio of 2 : 3. Their HCF and LCM are 21 and 126, respectively. What is the difference of these two numbers?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 21.
a × b = HCF × LCM
Where a nd b are two numbers.
Let the two numbers be 2x nd 3x.
According to the question;
⇒ 2x × 3x = 21 × 126
⇒ 6x2 = 21 × 126
⇒ x2 = 21 × 21
⇒ x = 21
Required difference = 3x - 2x
⇒ x = 21