Two numbers are in ratio 3 : 2. Their LCM and HCF are 24 and 4, respectively. Find the greater number.
12
The correct answer is Option 4 i.e. 12.
Two numbers are in ratio 3 : 2 = 3x : 2x
HCF × LCM = Product of two numbers
⇒ 4 × 24 = 3x × 2x
⇒ 4 × 24 = 6x2
⇒ x2 = 16
⇒ x = 4
Greater number = 3x = 12
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