Subject

    Quantitative Aptitude

    Topic

    Age

    Mary is 12 years younger to Pinky. After 3 years, the ratio of their ages will be 5:8. If the present age of Sam is the sum of ages of Mary and Pinky, then what was the age of Sam 15 years back ?

    ক)
    31 years
    খ)
    37 years
    গ)
    46 years
    ঘ)
    29 years

    Explanation

    Let the present age of Pinky be x years Then the age of Mary is x - 12 years After 3 years, Ratio of MaryPinky  =  x  −  9x  +  3  =  58\frac{Mary}{Pinky}\;=\;\frac{\mathrm x\;-\;9}{\mathrm x\;+\;3}\;=\;\frac58 8x - 72 = 5x +15 => 3x = 87 => x = 29 => Age of Pinky = 29 years => Age of Mary = 29 - 12 = 17 years Present age of Sam = 29 + 17 = 46 Before 15 years Sam age = 46 - 15 = 31 years.

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