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    Question

    The ratio of two numbers ‘X’ and ‘Y’ is 7:9,

    respectively. If 4 is added to each of ‘X’ and ‘Y’, then the ratio of ‘X’ and ‘Y’ becomes 4:5. The sum of ‘X’ and ‘Y’ is:
    A 64 Correct Answer Incorrect Answer
    B 80 Correct Answer Incorrect Answer
    C 72 Correct Answer Incorrect Answer
    D 56 Correct Answer Incorrect Answer

    Solution

    Let the two numbers ‘X’ and ‘Y’ be ‘7x’ and ‘9x’, respectively ATQ; (7x + 4)/(9x + 4) = 4/5 Or, 35x + 20 = 36x + 16 Or, x = 4 Now, sum of ‘X’ and ‘Y’ = 7 × 4 + 9 × 4 = 64

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