Multiple Choice Questions on In a two digit if it is known that its unit 39 s digit exceeds its ten 39 s digit by 2 and that the ........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

In a two digit if it is known that its unit 39 s digit exceeds its ten 39 s digit by 2 and that the ...........

Quantitative Aptitude ( CCS) Number System
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    In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:

    46

    Incorrect Answer

    42

    Incorrect Answer

    26

    Incorrect Answer

    24

    Correct Answer
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    Explanation:

    Let the ten's digit be x.

    Then, unit's digit = x + 2.

    Number = 10x + (x + 2) = 11x + 2.

    Sum of digits = x + (x + 2) = 2x + 2.

    (11x + 2)(2x + 2) = 144

    22x2 + 26x - 140 = 0

    11x2 + 13x - 70 = 0

    (x - 2)(11x + 35) = 0

    x = 2.

    Hence, required number = 11x + 2 = 24.

    Hence, option 4 is the correct answer.

    By: MIRZA SADDAM HUSSAIN
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