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

  • question_answer
    One number is 3 times another number. If 15 is added to both the numbers, one of the new numbers becomes twice that of the other new number. Find the numbers.

    A)  15 and 60  

    B)                         30 and 45

    C)                         15 and 30  

    D)                         15 and 45

    Correct Answer: D

    Solution :

    Let one of the numbers be 'x? Then the second number = 3x By the given condition, one number \[+15=\] 2 (second number \[+15\]) i.e., \[3x+15=2(x+15)\] \[\Rightarrow \]   \[x=-3\] Hence, if one number is 15 the other number is \[3+15=45.\](or) if one number is \[-3,\] the second number is \[3\times (-3)=-9\]. \[\therefore \]Of the given options 15 and 45 are the required numbers.


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