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    Question

    Three individuals – Ria, Tia, and Mia – are

    discussing their ages. The age of Ria 8 years ago was one-third of Tia’s age 4 years from now. The total of their present ages is 60 years. If Mia is 5 years younger than Tia, then what is the current age of Mia?
    A 55 yrs Correct Answer Incorrect Answer
    B 20 yrs Correct Answer Incorrect Answer
    C 39 yrs Correct Answer Incorrect Answer
    D 65 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the present ages of Ria and Tia be β€˜x’ years and β€˜y’ years respectively. According to question, 3(x – 8) = (y + 4) 3x – 24 = y + 4 3x – y = 28 -------- (1) Also, (x + y) = 60 -------- (2) Solving (1) and (2), we get x = 16 and y = 44 So, the age of Mia = 44 – 5 = 39 years

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