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L.C.M. of two numbers is 120 and their H.C.F. is 10. Which of the following can be the sum of those two numbers ?
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- 140
- 80
- 60
- 70
Correct Option: D
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
