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# When the digits of two-digit,

Author Message
Intern
Joined: 07 Jul 2018
Posts: 34
When the digits of two-digit,  [#permalink]

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15 Oct 2018, 01:46
1
00:00

Difficulty:

75% (hard)

Question Stats:

20% (02:54) correct 80% (02:19) wrong based on 5 sessions

### HideShow timer Statistics

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.

This is a question from VERITAS, I did not understand their explanation.
1. Why 90 is not considered.
2. Why 96 is rejected.
Can someone please explain in detail?
Math Expert
Joined: 02 Sep 2009
Posts: 52910
Re: When the digits of two-digit,  [#permalink]

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15 Oct 2018, 02:00
Akshit03 wrote:
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.

This is a question from VERITAS, I did not understand their explanation.
1. Why 90 is not considered.
2. Why 96 is rejected.
Can someone please explain in detail?

Discussed here: https://gmatclub.com/forum/when-the-dig ... 85733.html

TOPIC IS LOCKED AND ARCHIVED.
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Re: When the digits of two-digit,   [#permalink] 15 Oct 2018, 02:00
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