Question
The LCM of two numbers is 720. The HCF of these numbers
is 12. If one of the numbers is 48, find the other number.Solution
We know that the product of two numbers is equal to the product of their LCM and HCF: LCM × HCF = Product of the two numbers. Let the second number be x. LCM × HCF = 48 × x 720 × 12 = 48 × x 8640 = 48 × x x = 8640 ÷ 48 x = 180. Correct option: a
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