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    Question

    12 years ago, the ratio of the ages of Meena and Riya was

    7:11. If Riya’s current age is 40% more than Meena’s current age, then find the sum of their present ages.
    A 96 yrs Correct Answer Incorrect Answer
    B 58 yrs Correct Answer Incorrect Answer
    C 44 yrs Correct Answer Incorrect Answer
    D 66 yrs Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the present ages of Meena and Riya be ‘7x + 12’ years and ‘11x + 12’ years, respectively.

    ATQ:

    11x + 12 = 1.4 × (7x + 12)

    ⇒ 11x + 12 = 9.8x + 16.8

    ⇒ 1.2x = 4.8

    ⇒ x = 4

    Required sum = (7 × 4 + 12) + (11 × 4 + 12) = 40 + 56 = 96 years

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