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February 9th, 2015, 06:34 AM   #1
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math problem

2272 and 875 divde both number by 3 digit number N.such that remainder will same?
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February 9th, 2015, 06:57 AM   #2
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$$\begin{array}{c}2272 = an + r \\
875 = bn + r\end{array} \implies (a-b)n = 1397$$
1397 is semi-prime with only one of the factors having three digits.

Last edited by v8archie; February 9th, 2015 at 07:05 AM.
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February 9th, 2015, 11:43 AM   #3
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Hello, sabbardabeer!

Quote:
Both 2272 and 875 are divisible by a 3-digit number
such that the remainders are equal. Find .



Equate [1] and [2]:



Therefore:

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