Question
The HCF of two numbers is 64, and their LCM is 1920.
What is the sum of the numbers?Solution
Let the two numbers be 64x and 64y.
Then,
Product of the numbers = Product of HCF and LCM
64x × 64y = 64 × 1920
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
64 × 5 + 64 × 6 = 64 × 11 = 704
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