Two number are in the ratio 3 : 2. If their LCM is 240, the smaller of the two number is
Correct Answer: Option B
Product of two numbers = LCM × HCF
Let the two number be 3x and 2x, where x is HCF because these two numbers are in ratio 3: 2
⇒ 3 × 2 × x2 = 240 × x
⇒ 6x = 240
⇒ x = 40
Smallest number is 2 times the constant = 2 × 40 = 80
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