Question

    The present ages of Goutam and Tia are in the ratio

    16:15. Their ages were in the ratio 4:3, twelve years ago. How old is Sahil if he is 11 years older that Tia?
    A 23 years Correct Answer Incorrect Answer
    B 24 years Correct Answer Incorrect Answer
    C 25 years Correct Answer Incorrect Answer
    D 26 years Correct Answer Incorrect Answer
    E 27 years Correct Answer Incorrect Answer

    Solution

    Let the present ages of Goutam and Tia be 16x and 15x respectively. Given, (16x - 12)/(15x - 12) = 4/3 ⇒ 48x - 36 = 60x - 48 ⇒ 12x = 12 ⇒ x = 1 ∴ Tia's present age = 15 ⇒ Sahil's present age = 15 + 11 = 26 years

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