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    Question

    If the product of two numbers is 60 and the sum of

    their squares is 169, then what is the sum of these two numbers?
    A 17 Correct Answer Incorrect Answer
    B 13 Correct Answer Incorrect Answer
    C 19 Correct Answer Incorrect Answer
    D 15 Correct Answer Incorrect Answer

    Solution

    Let the two numbers be x and y Then, ATQ: xy = 60     ----eq.(1) x2+ y2 = 169     ----eq.(2) Also, (x + y)2 = x2 + y2 + 2xy ⇒ (x + y)2 = 169 + (2 × 60); From eq.1 and eq.2 ⇒ (x + y)2 = 289 ⇒ x + y = 17 ∴ Sum of the two numbers = 17

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