📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    Question

    Four years ago, the ratio of A’s age to B’s age was

    5 : 3. Eight years from now, their ages will be in the ratio 3 : 2. Find B's present age.
    A 40 yrs Correct Answer Incorrect Answer
    B 25 yrs Correct Answer Incorrect Answer
    C 33 yrs Correct Answer Incorrect Answer
    D 77 yrs Correct Answer Incorrect Answer

    Solution

    Let 4 years ago: A = 5k, B = 3k. So present ages: A = 5k + 4, B = 3k + 4. Eight years from now: A = 5k + 12, B = 3k + 12 Given (fivek + 12):(3k + 12) = 3 : 2 (5k + 12) / (3k + 12) = 3/2 Cross-multiply: 2(5k + 12) = 3(3k + 12) 10k + 24 = 9k + 36 10k − 9k = 36 − 24 k = 12 Present ages: A = 5k + 4 = 5×12 + 4 = 64 years B = 3k + 4 = 3×12 + 4 = 40 years

    Practice Next
    More Age Questions

    Relevant for Exams:

    ask-question