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14 March, 00:35

When the digits of two-digit, positive integer M are reversed, the result is the two-digit, positive integer N. If M > N, what is the value of M?

(1) The integer (M - N) has 12 unique factors.

(2) The integer (M - N) is a multiple of 9.

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Answers (1)
  1. 14 March, 02:32
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    Option (2) is the correct answer for the above question.

    Explanation:

    When the user takes two digits of positive integer represented by M but the reverse of M is represented by N. but when M>N then M-N is a multiple of 9.

    Just for example if a user takes--

    M=21 then N=12 then M-N = 9. M=31 then N=13 then M-N=18. M=41 then N=14 then M-N=27.

    Here when a user takes a two-digit number for M and N will be reverse of M then M-N is always the multiple of 9 in which M-N lies in (9 to 72). where only 72 have 12 factors. so option 1 is only correct for M-N=72. Hence Option 1 is not correct. but option 2 is correct.
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