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7th Class Mathematics Comparing Quantities Question Bank Self Test-7

  • question_answer
    The ratio of ages of Marry and Mariya is 4: 5. After 12 years their ratio becomes 5: 6. What will be the age of Marry after 2 years?

    A)  49          

    B)  50           

    C)  60        

    D)  70

    E)             None of these

    Correct Answer: B

    Solution :

    Let the age of Mary be 4x and age of Mariya be \[5x\] Age of Mary after 12 years \[=\left( 4x+12 \right)\] years. Age of Mariya after 12 years \[=\left( 5x+12 \right)\]years. Now, \[\frac{4x+12}{5x+12}=\frac{5}{6}\Rightarrow 6(4x+12)=5(5x+12)\] \[\Rightarrow 24x+72=25x+60\Rightarrow 25x-24x=72-60\] \[\Rightarrow x=12\]years. \[\therefore \]The age of Merry after 2 years \[=\left( 4\text{ }x12+2 \right)\]years = 50 years


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