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    Question

    Shruti is currently 20% younger than Suhana. In four

    years, the age difference between them will change so that Suhana’s age will be to Shruti’s age as 11 is to 9. Based on this information, what was the ratio of Suhana's age to Shruti's age four years prior to now?
    A 242 Correct Answer Incorrect Answer
    B 253 Correct Answer Incorrect Answer
    C 264 Correct Answer Incorrect Answer
    D 275 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the numbers are 5x and 6x According to question: (5x + 9)/(6x – 45) = 4/3 15x + 27 = 24x – 180 9x = 207 x = 23 So the numbers are 115 and 138 Sum of the numbers = 115 + 138 = 253

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