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  3. 8th Class
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  5. Linear Equations in One Variable

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

  • question_answer
    The result of dividing a number of two digits by the number with digits reversed is 5/6. If the difference of digits is 1, find the number.

    A)  45

    B)  65             

    C)  87                               

    D)  67

    Correct Answer: A

    Solution :

    (a): Let "ab" be \[\Rightarrow No=10a+b\] Now \[\frac{10a+b}{10b+a}=\frac{5}{6}\] \[\Rightarrow 60a+6b=50b+5a\] \[\Rightarrow 55a=44b\] \[\Rightarrow 5a=4b\] also, \[b-a=1\] \[\Rightarrow 5a=4\left( a+1 \right)\] \[\Rightarrow a=4\And b=5\] .'. Number =45.                        


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