Question

    Sum and difference of two natural numbers is 92 and 36.

    Find the larger number.
    A 64 Correct Answer Incorrect Answer
    B 66 Correct Answer Incorrect Answer
    C 76 Correct Answer Incorrect Answer
    D 72 Correct Answer Incorrect Answer

    Solution

    Let the numbers be 'a' and 'b', where a > b.So, a + b = 92 --------- (I)Or, a - b = 36 ---------- (II)On adding equation I and II,We get, a + b + a - b = 92 + 36Or, 2a = 128Or, 'a' = 64

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