Question

    A grandmother distributed a total of 480 gold coins

    between her two sons in the ratio of (x + 1) to (x – 1). The difference in the number of coins received by the two sons is 120. Find the value of x.
    A 2 Correct Answer Incorrect Answer
    B 4 Correct Answer Incorrect Answer
    C 5 Correct Answer Incorrect Answer
    D 6 Correct Answer Incorrect Answer
    E 3 Correct Answer Incorrect Answer

    Solution

    According to question,
    480(x + 1)/[(x + 1) + (x – 1)] – 480
    (x - 1)/[(x + 1) + (x – 1)] = 120
    4[(x + 1) – (x – 1)] = [(x + 1) + (x – 1)]
    8 = 2x
    x = 8/2 = 4

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