Question

LCM and HCF
LCM of two numbers is 120 and their HCF is 10
Which of the following can be the sum of these two numbers

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Answer 1

Step-by-step explanation:

Let the numbers be 10p and 10q , where p and q are prime to each other.

∴ LCM = 10pq

⇒ 10pq = 120

⇒ pq = 12

Possible pairs = (3 , 4) or (1 , 12)

Numbers are : 10p = 10 × 3 = 30 and 10q = 10 × 4 = 40 or 10p = 10 × 1 = 10 and 10q = 10 × 12 = 120

∴ Sum of the numbers = 30 + 40 = 70