Two numbers are in the ratio of 4 : 9. If the mean proportional between them is 24, find the positive difference between the two numbers.

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SSC GD Constable 2025 Official Paper (Held On: 04 Feb, 2025 Shift 1)
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  1. 20
  2. 25
  3. 15
  4. 30

Answer (Detailed Solution Below)

Option 1 : 20
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Detailed Solution

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Given:

Two numbers are in the ratio of 4 : 9

Mean proportional between them is 24

Formula used:

If a and b are two numbers, then mean proportional = √(a × b)

Calculation:

Let the two numbers be 4x and 9x

Mean proportional = √(4x × 9x)

⇒ 24 = √(36x2)

⇒ 24 = 6x

⇒ x = 4

First number = 4x = 4 × 4 = 16

Second number = 9x = 9 × 4 = 36

Positive difference = 36 - 16 = 20

∴ The correct answer is option (1).

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