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# How many 3 digit positive integers divisible by 7. solution:

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Manager
Joined: 27 Sep 2006
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How many 3 digit positive integers divisible by 7. solution: [#permalink]

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16 Nov 2006, 16:37
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

How many 3 digit positive integers divisible by 7.

solution: highest 3 digit int. divisible by 7 = 994
lowest 105, their difference is 889, divide that by 7 yields 127.

solution says to add 1 to this number, so answer is 128.
Why?

ARE THERE similar problems where you don't add 1?

thanks!

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Senior Manager
Joined: 20 Feb 2006
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16 Nov 2006, 16:54
You add the one because in calculating the difference you have excluded the smallest term which, in this case, is 105. If it asked "find all three digits numbers divisible by 7 between (but not including) 105-999 then you wouldn't add the 1.

Hope this is slightly clearer.

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16 Nov 2006, 16:54
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# How many 3 digit positive integers divisible by 7. solution:

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