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

    Question

    Four years back, the ratio of Rohan and Neha’s ages

    was 9:10. Twelve years from now, their ages will be in the ratio 11:12. What is Neha’s current age?
    A 42 yrs Correct Answer Incorrect Answer
    B 84 yrs Correct Answer Incorrect Answer
    C 20 yrs Correct Answer Incorrect Answer
    D 45 yrs Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let Rohan and Neha’s ages 4 years ago be '9x' and '10x' respectively.

    Rohan’s age after 12 years = 9x + 4 + 12 = (9x + 16) years

    Neha’s age after 12 years = 10x + 4 + 12 = (10x + 16) years

    ATQ,

    (9x + 16)/(10x + 16) = 11/12

    ⇒ 12(9x + 16) = 11(10x + 16)

    ⇒ 108x + 192 = 110x + 176

    ⇒ 16 = 2x

    ⇒ x = 8

    So, present age of Neha = 10 × 8 + 4 = 84 years

    Practice Next
    More Age Questions

    Relevant for Exams:

    ask-question