Multiple Choice Questions on The sum of digits of a two digit number is 9 When the digits are reversed the number decreases by 45........... for RRB(NTPC) Exam Preparation

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Multiple Choice Questions

The sum of digits of a two digit number is 9 When the digits are reversed the number decreases by 45...........

Quantitative Aptitude (RRB NTPC) Number System
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    The sum of digits of a two-digit number is 9. When the digits are reversed, the number decreases by 45. Find the changed number.

    45

    Incorrect Answer

    72

    Incorrect Answer

    63

    Incorrect Answer

    27

    Correct Answer
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    Explanation:
    Let the number be xy
    ∴ x + y = 9 …(i)
    ATQ,
    (10x + y) – (10y + x) = 45
    9x- 9y = 45
    x – y = 5 …(ii)
    by solving (i) and (ii)
    x = 7, y = 2
    ∴ changed number = 10y + x = 20 + 7 = 27

    By: Barka Mirza
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