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The sum of the squares of 3 natural numbers is 261, and they are in the proportion 2 : 3 : 4. The difference between greatest number and smallest number is:
1. 6
2. 9
3. 5
4. 4

1 Answer

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Correct Answer - Option 1 : 6

Calculation:

Let the numbers be 2y, 3y and 4y respectively.

⇒ (2y)2 + (3y)2 + (4y)2 = 261

⇒ 29y2 = 261

⇒ y2 = 9

⇒ y = 3

Greatest number = 4y = 12

Smallest number = 2y = 6

∴  The difference between greatest number and smallest number is 6.

 

 

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