Question
The HCF of two numbers is 112, and their LCM is 3360.
What is the sum of the numbers?Solution
Let the two numbers be 112x and 112y.
Then,
Product of the numbers = Product of HCF and LCM
112x × 112y = 112 × 3360
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
112 × 5 + 112 × 6 = 112 × 11 = 1232
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