The HCF and LCM of two numbers are 20 and 120 respectively. If one of the numbers is 50% greater than the other, then find the smaller number.
Answer & explanation
Correct answer: option 3
LCM × HCF = Product of two numbers
⇒ 20 × 120 = a × 1.5a
⇒ a2 = 20 × \(\frac{120}{1.5}\)
⇒ a2 = 1600
∴ a = 40.