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    Question

    Currently, Shweta and Rajni's ages are in the ratio of

    5:4. Five years from now, the ages of Priya and Rajni will have a ratio of 7:5. Gautam is 10 years older than Priya. The average current age of Shweta, Rajni, Priya, and Gautam is 28.75 years. Determine Gautam's age five years ago.
    A 35 yrs Correct Answer Incorrect Answer
    B 28 yrs Correct Answer Incorrect Answer
    C 12 yrs Correct Answer Incorrect Answer
    D 30 yrs Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the present age of Shweta and Rajni be '5a' years and '4a' years respectively. Present age of Priya = [{(4a + 5) × (7/5)} – 5] years = (5.6a + 2) years Therefore, present age of Gautam = (5.6a + 2 + 10) = (5.6a + 12) years ATQ, 5a + 4a + 5.6a + 2 + 5.6a + 12 = 28.75 × 4 Or, a = 101/20.2 = 5 years Therefore, age of Gautam 5 years ago = 5.a + 12 – 5 = 35 years

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