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Two numbers are in the ration 3 : 5. If the sum of their squares is 2176, find the sum of the two numbers.1. 642. 683. 604. 56 |
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Answer» Correct Answer - Option 1 : 64 Given: The ratio of numbers = 3 ∶ 5 Sum of their squares = 2176 Calculation: Let the numbers be 3x and 5x. The squares of the numbers are 9x2 and 25x2 respectively. Sum of squares = 9x2 + 25x2 = 2176 34x2 = 2176 Or, x2 = 64 Then, x = 8 Sum of the numbers = 3x + 5x = 8x = 64 ∴ The sum of the numbers is 64. |
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