Subject

    Quantitative Aptitude

    Topic

    Age

    One year ago the ratio between Sam and Ash’s age was 4:3. One year hence the ratio of their ages will be 5:4. What is the sum of their present ages in years?

    ক)
    14
    খ)
    16
    গ)
    18
    ঘ)
    12
    ঙ)
    None of these

    Explanation

    Let one year ago Sam’s age be 4X years And, Ash’s age be 3X years Present age of Sam = (4X + 1) years Present age of Ash= (3X + 1) years One year hence Sam’s age = (4X + 2) years Ash’s age = (3X + 2) years According to question, [4X + 2] divide by [3X + 2] = 5 / 4 16X + 8 = 15X + 10 or, X = 2 Sum of their present ages = 4X + 1 + 3X + 1 = 7X + 2 = 7 x 2 + 2 = 16 years.

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