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8th Class Mathematics Algebraic Expressions Question Bank Algebra

  • question_answer
    The ratio between a two digit number and the sum of digits of that number is 4 : 1. If the digit in the units place is 3 more than the digit in the tenth place. What is the number?

    A) 63                               

    B) 36

    C) 48                               

    D) Data is not sufficient

    Correct Answer: B

    Solution :

    10 1
    \[x\] \[x+3\]
    Two digit number is \[\frac{1}{x}-\frac{3}{4}+\frac{1}{2+x}=0\] Sum of the digits \[\left( 2,-\frac{3}{4} \right)\] So,  \[\frac{11x+3}{2x+3}=\frac{4}{1}\]             \[(-8,0)\]             \[\left( -\frac{4}{3},2 \right)\]             \[=A-A=0\] The number = 36


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