Multiple Choice Questions on The product of two numbers is 120 and the sum of their squares is 289 The sum of the two numbers is ........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

The product of two numbers is 120 and the sum of their squares is 289 The sum of the two numbers is ...........

Quant (SSC) Number System
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    The product of two numbers is 120 and the sum of their squares is 289. The sum of the two numbers is 

    23

    Correct Answer

    7

    Incorrect Answer

    13

    Incorrect Answer

    169

    Incorrect Answer
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    Explanation:

    Let the numbers be x and y
    Then, xy = 120 and x2 + y2 = 289
    ∴ (x + y)2 = x2 + y2 + 2xy = 289 + (2 x 120) = 529
    ∴ x + y = √529 = 23

    By: Amit Kumar
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