Question

    The ratio of A's age to B's age is 1:4, and the ratio of

    B's age to C's age is 4:5. D is 20 years older than B. Additionally, the ratio of C's age to D's age is 5:8. What is the difference in age between A and D?
    A 35 yrs Correct Answer Incorrect Answer
    B 25 yrs Correct Answer Incorrect Answer
    C 30 yrs Correct Answer Incorrect Answer
    D 20 yrs Correct Answer Incorrect Answer
    E 15 yrs Correct Answer Incorrect Answer

    Solution


    Let age of A and B be x and 4x respectively.

    Age of C = 4x/4 * 5= 5x

    Age of D = 20 + 4x.

    Given, ratio of age of C and D is 5:8.

    5x/(20+4x) = 5/8

    8x = 20 + 4x

    4x = 20

    x = 5

    Age of A = x = 5 years

    Age of D = 20 + 4x = 20 + 4 * 5 = 40 years

    Required difference = (40 - 5) = 35 years

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