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    Question

    Two years ago, the combined ages of Armaan and Bikash

    equaled Chetna's age at that time. Ten years ago, Armaan was twice as old as Bikash. If, in five years, the total age of Armaan and Chetna will be 58 years, what is the present age (in years) of Bikash?
    A 25 yrs Correct Answer Incorrect Answer
    B 14 yrs Correct Answer Incorrect Answer
    C 20 yrs Correct Answer Incorrect Answer
    D 18 yrs Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, 10 years ago, let the age of тАШBikashтАЩ = тАШxтАЩ years 10 years ago, age of тАШArmaanтАЩ = 2x years 2 years ago, age of тАШArmaanтАЩ = (2x + 8) years 2 years ago, age of тАШBikashтАЩ = (x + 8) years 2 years ago, age of тАШChetnaтАЩ = (2x + 8) + (x + 8) = (3x + 16) years 5 years in the future, age of тАШArmaanтАЩ = (2x + 15) years 5 year in the future, age of Chetna = (3x + 23) years Given that 2x + 15 + 3x + 23 = 5x + 38 = 58 Or, 5x = 20 Or, x = 4 Hence, current age of Bikash = x + 10 = 14 years

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