6th Class Mathematics Algebra Question Bank Algebra

  • question_answer
    A number is 56 greater then the average of its third, quarter and one twelfth. Find it.

    A)  53

    B)  72

    C)  85

    D)  86

    Correct Answer: B

    Solution :

    Let the number be\[x\], A/Q, \[x=56+\frac{\frac{x}{3}+\frac{x}{4}+\frac{x}{12}}{3}\] \[\Rightarrow \]\[x=56+\frac{\frac{4x+3x+x}{12}}{3}\] \[\Rightarrow \]\[x=56+\frac{8x}{3\times 12}\] \[\Rightarrow \]\[x-\frac{2x}{9}=56\] \[\Rightarrow \]\[\frac{7x}{9}=56\] \[\therefore \]\[x=72\] Hence the number is 72.


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