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    Question

    The ratio of two numbers ‘M’ and ‘N’ is 8:5,

    respectively. If 14 is subtracted from each of ‘M’ and ‘N’, then the ratio of ‘M’ and ‘N’ becomes 3:1. The sum of ‘M’ and ‘N’ is:
    A 52 Correct Answer Incorrect Answer
    B 78 Correct Answer Incorrect Answer
    C 65 Correct Answer Incorrect Answer
    D 130 Correct Answer Incorrect Answer

    Solution

    Let the two numbers ‘M’ and ‘N’ be ‘8x’ and ‘5x’, respectively ATQ; (8x - 14)/(5x - 14) = 3/1 Or, 8x - 14 = 15x - 42 Or, 7x = 28 Or, x = 4 Now, sum of ‘M’ and ‘N’ = 8 × 4 + 5 × 4 = 52

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