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In this problem, m and n are integers. If \(m\equiv 4\pmod{14}\) and \(m-n\equiv 10\pmod{14}\), then what is the remainder when m+n is divided by 14?

 
 Nov 22, 2020
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m mod 14 = 4, 

(m - n) mod 14 =10, solve for m, n

 

m = 14 c + 4 and n = 14 d + 8, So:

m =4  and  n = 8

[4 + 8] mod 14 ==12

 
 Nov 22, 2020

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