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    Question

    7 years ago from now, the ratio of ages of two siblings

    was 9:8, respectively. 5 years hence from now, the ratio of ages of the younger sibling and the older sibling will be 4:5. Find the sum of their ages, 7 years hence from now.
    A 31 yrs Correct Answer Incorrect Answer
    B 18 yrs Correct Answer Incorrect Answer
    C 15 yrs Correct Answer Incorrect Answer
    D 25 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    5 years hence from now, let the ages of the younger sibling and the older sibling be '4c' years and '5c' years, respectively. ATQ, So, the age of the older sibling, 7 years hence from now = 5c−5+7=5(3)−5+7 = 17 years. Age of the younger sibling, 7 years hence from now = 4c−5+7=4(3)−5+7 = 14 years. Therefore, the required sum = 17+14 = 31 years.

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