The difference between two numbers is 15 and their HCF and LCM are 3 and 108 respectively. Find the difference between their reciprocals.
Answer & explanation
Correct answer: option 2
Let the two numbers are x and y
⇒ x – y = 15 and xy = 3 × 108 [Product of two number = HCF × LCM]
⇒ \(\frac{1}{y}\) – \(\frac{1}{x}\)
⇒ \(\frac{x - y}{xy}\)
⇒ \(\frac{15}{3 × 108}\)
⇒ \(\frac{5}{108}\)