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  1. Six years ago the ratio of the ages of Preeti and Ruchi was 6: 5. After four years the ratio of their ages will be 11: 10. What is Ruchi's present age?

  2. A.
    18 years
    B.
    17 years
    C.
    16 years
    D.
    15 years

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    Answer : Option C

    Explanation :


    The ratio of the ages of Preeti and Ruchi six years ago =6:5
    According to Question:
    six years ago the age of Preeti=6x
    Six years ago age of Ruchi=5x
    after 4years, the ratio of their ages =11:10
    (6x+10):(5x+10)=11:10
    10(6x+10) =11(5x+10)
    60x + 100 = 55x + 110
    5x=10
    x=10/5=2
    Ruchi's present age
    =(5x+6)=5×2+6=16 years


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