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    Question

    A's age is 75% greater than B's

    age. The age difference between C and D is 24 years. The average age of A, B, C, and D is 60.75 years. The ratio of A's age to C's age is 3:4. If C is older than D, determine the age of A.
    A 63 yrs Correct Answer Incorrect Answer
    B 65 yrs Correct Answer Incorrect Answer
    C 77 yrs Correct Answer Incorrect Answer
    D 84 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the age of A = 21a B’s present age = 12a C’s present age = 28a D's present age = 28a-24 Total age of A, B, C and D = 60.75×4 = 243years 21a+12a+28a+28a-24 = 243 89a = 267 a = 3 The age of 'A' = 21×3 = 63 years

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