10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank Pair of Linear Equations in Two Variables

  • question_answer The ratio of a 2-digit number to the sum of digits of that number is\[4:1\]. If the digit in the unit place is 3 more than the digit in the tens place, what is the number?

    A)  63                  

    B)  36      

    C)  24                  

    D)         40      

    Correct Answer: B

    Solution :

    Let the digit at unit place be x and the digit at tens place be y, then the number \[=10y+x\] Now, according to the question, \[\frac{10y+x}{y+x}=\frac{4}{1}\] \[\Rightarrow \]            \[10y+x=4y+4x\] \[\Rightarrow \]            \[6y=3x\]  \[\Rightarrow \] \[x=2y\]        .....(1) Also,  \[x=3+y\] \[\Rightarrow \] \[2y=3+y\]     [From (1)] \[\Rightarrow \]  \[y=3\]and \[x=6\]  \[\therefore \]Number = 36


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