LCM and HCF of two numbers are 108 and 9 respectively. If one of the numbers is 36, then find the other number.

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RPF SI CBT-I 2024 Official Paper (Held On: 12 Dec, 2024 Shift 3)
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  1. 25
  2. 30
  3. 28
  4. 27

Answer (Detailed Solution Below)

Option 4 : 27
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Detailed Solution

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Given:

LCM of two numbers = 108

HCF of two numbers = 9

One of the numbers = 36

Formula Used:

Product of two numbers = LCM × HCF

Calculation:

Let the other number be x.

⇒ Product of the two numbers = 36 × x

⇒ 36 × x = 108 × 9

⇒ 36x = 972

⇒ x = 972 / 36

⇒ x = 27

The other number is 27.

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