8th Class Mathematics Linear Equations in One Variable Question Bank Linear equations in One Variable

  • question_answer
    Sunita is twice a sold as Ashima. If six years is subtracted from Ashima's age and four years added to Sunita's age, then Sunita will be four times that of Ashima's age. Find the sum of their ages two years ago.

    A)  40 years                     

    B)  42 years         

    C)  36 years         

    D)         38 years         

    Correct Answer: D

    Solution :

    Let age of Ashima be x years. Then, age of Sunita Is 2x years, According to question, we have \[4(x6)=2x+4\] \[\Rightarrow 4x-24=2x+4\Rightarrow 2x=28\Rightarrow x=14\] \[\therefore \] Age of Ashima =14 years Age of Sunita \[\text{=2}\times \text{14=28 years}\] Sum of their ages = 42 years Hence, two years ago they were                                     42 - 4 = 38 years


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