Question

    Ten years from now, the ages of A and B will be in a ratio of 7:9. C's current age is half of B's current age. Five years from now, the ratio of C's age to D's age will be 3:4. If the average of C's and D's current ages is 16, what is A's current age?

    A 30 years Correct Answer Incorrect Answer
    B 28 years Correct Answer Incorrect Answer
    C 22 years Correct Answer Incorrect Answer
    D 18 years Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    C + D=32 years After 5 years=32 + 10 =42 years 7x=42 years x= 6 years C=3 * 6= 18 years C’s present age=18 – 5 =13 years B’s present age=13 * 2 =26 years After 10 years B’s age=26 + 10 =36 years A’s age after 10 years=7 / 9 *36 =28 years A’s present age=28 – 10 =18 years

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