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.