The ratio of two numbers is 5 : 6 and their LCM is 150. Find the sum of the two numbers.

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RRC Group D Previous Paper 42 (Held On: 16 Oct 2018 Shift 3)
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  1. 50
  2. 55
  3. 60
  4. 54

Answer (Detailed Solution Below)

Option 2 : 55
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Detailed Solution

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Given:

The ratio of two numbers is 5 : 6 and their LCM is 150.

Calculation:

Let the numbers be ‘5x and ‘6x’ respectively and sum of these numbers be ‘11x’

LCM Of 5x and 6x = 30x

Using the given value in above formulae we get,

⇒ 30x = 150

⇒ x = 5

∴ the sum of these number is 11x = 55.
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