Question

    The ratio of two numbers is 5:4. A number y is then

    subtracted from each of the two given numbers so that the ratio of the resultant numbers becomes 2:1. What would be the ratio of the resultant numbers when the same number y is added to each of the two initial numbers?
    A 3:2 Correct Answer Incorrect Answer
    B 5:4 Correct Answer Incorrect Answer
    C 7:6 Correct Answer Incorrect Answer
    D 8:7 Correct Answer Incorrect Answer

    Solution

    Let the two numbers be 5x and 4x.   According to the question, (5x - y)/ (4x - y) = 2/1 5x-y=8x - 2y 3x = y -----(1) Now, the ratio when y is added to the two numbers,   (5x + y): (4x + y) Take the value of y from equation (1), we get (5x + 3x): (4x + 3x) = 8x: 7x = 8:7.

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