February 9th, 2015, 07:34 AM  #1 
Newbie Joined: Feb 2015 From: parli Posts: 1 Thanks: 0  math problem
2272 and 875 divde both number by 3 digit number N.such that remainder will same?

February 9th, 2015, 07:57 AM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,551 Thanks: 2556 Math Focus: Mainly analysis and algebra 
$$\begin{array}{c}2272 = an + r \\ 875 = bn + r\end{array} \implies (ab)n = 1397$$ 1397 is semiprime with only one of the factors having three digits. Last edited by v8archie; February 9th, 2015 at 08:05 AM. 
February 9th, 2015, 12:43 PM  #3  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 407  Hello, sabbardabeer! Quote:
Equate [1] and [2]: Therefore:  

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