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    Question

    The present age ratio of Anshul

    to Pawan is 5:7, and that of Chinky to Diksha is 3:2. A decade ago, the ratio of Anshul’s age to Chinky’s age was 3:4. Furthermore, after a decade, the age ratio of Pawan to Diksha will be 3:2. Calculate the average current age of Anshul, Pawan, and Chinky.
    A 35 yrs Correct Answer Incorrect Answer
    B 27 yrs Correct Answer Incorrect Answer
    C 30 yrs Correct Answer Incorrect Answer
    D 25 yrs Correct Answer Incorrect Answer

    Solution

    ATQ, Let present age of Anshul and Pawan be â€5x’ years and â€7x’ years respectively. And, present age of Chinky and Diksha be â€3y’ years and â€2y’ years respectively. According to question, (5x – 10)/(3y – 10) = 3/4 20x – 40 = 9y – 30 20x – 9y = 10………………………. (1) (7x + 10)/(2y + 10) = 3/2 14x + 20 = 6y + 30 14x – 6y = 10 7x – 3y = 5……………………….. (2) Solving equation (1) and (2), we get x = 5 and y = 10 So, Desired Average = (5 Ă— 5 + 7 Ă— 5 + 3 Ă— 10)/3 = 30 year

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