Two numbers are in the ratio 3 : 4 and the product of their L.C.M. & H. C. F is 10800. The sum of the numbers is:
Correct Answer: Option B
Given two numbers are in the ratio 3:4.
Let the numbers be 3a and 4a
LCM × HCF = product of two numbers.
⇒ 10800 = 3a × 4a
⇒ 10800 = 12a2
⇒ 900 = a2
⇒ 30 = a
Sum of numbers = 3a + 4a =7a
⇒ Sum of numbers = 210
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