Question
The HCF of two numbers is 72, and their LCM is 2160.
What is the sum of the numbers?Solution
Let the two numbers be 72x and 72y.
Then,
Product of the numbers = Product of HCF and LCM
72x Ă— 72y = 72 Ă— 2160
xy = 30
Let x = 5 and y = 6 (As co-prime factors of 30 are 5 and 6).
Then, the sum of the numbers is
72 Ă— 5 + 72 Ă— 6 = 72 Ă— 11 = 792
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