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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. 62. 93. 54. 4 |
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Answer» 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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