If 366 is added to the 3 digit number 2n3 then the sum is : DS Archive
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# If 366 is added to the 3 digit number 2n3 then the sum is

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Joined: 29 Sep 2009
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If 366 is added to the 3 digit number 2n3 then the sum is [#permalink]

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02 Oct 2009, 00:11
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If 366 is added to the 3 digit number 2n3 then the sum is the 3 digit number 6m9. What is the value of n+m?

1/ 2n3 is a multiple of 3
2/ 6m9 is a multiple of 9
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Joined: 23 Jun 2009
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Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago
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Kudos [?]: 130 [1] , given: 80

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02 Oct 2009, 00:18
1
KUDOS
m=n-4

1) insuff.
5+n = mult. of 3 => n may be 1, 4, 7. As we see that m=n-4 then n can be 4 or 7.
2)suff.
15+m=mult of 9. So m can be only 3 and n becomes 7.

B.
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Posts: 16
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Kudos [?]: 27 [0], given: 3

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02 Oct 2009, 00:34
maliyeci wrote:
m=n-4

1) insuff.
5+n = mult. of 3 => n may be 1, 4, 7. As we see that m=n-4 then n can be 4 or 7.
2)suff.
15+m=mult of 9. So m can be only 3 and n becomes 7.

B.

thanks, maliyeci
that's a good explanation 1 kudo for you
I made a mistake when finding out from 1 (n=4 or 7) and corresponding m=0 or 3.
I go to (2) and find out m=3
so I come to conclusion that it needs both to get the answer. This is how I was trapped by DS questions
Re: Divisibility   [#permalink] 02 Oct 2009, 00:34
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