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SSC Quantitative Aptitude Number System and its Operations Question Bank Numbers and Their Principles (II)

  • question_answer
    There is a number consisting of two digits, the digit in the units place is twice that in the tens place and if 2 be subtracted from the sum of the digits, the difference is equal to 1/6th of the number. The number is [SSC CGL Tier II, 2015]

    A) 23

    B) 24

    C) 25

    D) 26

    Correct Answer: B

    Solution :

    [b] Let the number be \[10x+y.\] Then, according to the questions, \[y=2x\]                                     ...(i) and       \[(x+y)-2=(10x+y)\times \frac{1}{6}\] \[\Rightarrow \]   \[(x+2x)-2=(10x+2x)\times \frac{1}{6}\] \[\Rightarrow \]   \[3x-2=12x\times \frac{1}{6}\] \[\Rightarrow \]   \[3x-2=2x\]\[\Rightarrow \]\[3x-2x=2\] \[\therefore \]      \[x=2\] and \[y=4\] Then, required number \[=10\times 2+4=20+4=24\]


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