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7th Class Mathematics Simple Equations Question Bank Simple Equation

  • question_answer
    If two third of a number, half of the same number and one-seventh of same number is added to itself, the result is 37. The number is ____.

    A)  \[14\frac{2}{97}\]                             

    B)         \[16\frac{2}{97}\]                 

    C)         \[18\frac{2}{97}\]                             

    D)         \[15\frac{2}{97}\]

    Correct Answer: B

    Solution :

    Let the number be x. Then, \[\frac{2}{3}x+\frac{1}{2}x+\frac{1}{7}x+x=37\] \[\Rightarrow \] \[\frac{28x+21x+6x+42x}{42}=37\] \[\Rightarrow \] \[97x=37\times 42\Rightarrow x=\frac{1554}{97}\Rightarrow x=16\frac{2}{97}\]


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