Question

    The ages of A, B and C together are 54 years. B is thrice as old as A and C is 4 years older than A. What is the difference between ages of B and C?

    A 18 years Correct Answer Incorrect Answer
    B 15 years Correct Answer Incorrect Answer
    C 10 years Correct Answer Incorrect Answer
    D 16 years Correct Answer Incorrect Answer

    Solution

    Let A’s age be x years. B’s age = 3x and C’s age = (4 + x) According to question, => x + 3x + (4 + x) = 54 => 5x = 50 => x = 10 B’s age = 3x = 30 years C’s age = 4 + x = 14 years Difference between the ages of B and C = 30 – 14 = 16 years

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