8th Class Mathematics Algebraic Expressions Question Bank Algebra

  • question_answer
    One number is 3 less than the two times of the other. If their sum is increased by 7, the result is 37. Find the numbers.

    A) 9, 11                           

    B) 11, 13

    C) 11, 19           

    D) 9, 13

    Correct Answer: C

    Solution :

    Let one number \[y=2-\frac{3}{2}=\frac{1}{2}.\] Other number\[=2x-3\] \[=\frac{(x+y)({{x}^{2}}+{{y}^{2}}-xy)}{{{(xy)}^{3}}}=\frac{(x+y)\left[ {{(x+y)}^{2}}-3xy \right]}{{{(xy)}^{3}}}\] \[=\frac{a\left[ {{(a)}^{2}}-3(b) \right]}{{{(b)}^{3}}}\] \[\because \]        \[x+y=a\] \[\therefore \]The two numbers are 11 and 19.            


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