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If$a16(mod37)$and$b21(mod37)$,thenforwhatinteger$n$intheset${0,1,2,,35,36}$isittruethat$$abn(mod37) ?$$

 Nov 14, 2020
 #2
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a mod 37 = 16
b mod 37 = 21
(a - b) mod 37 = n, solve for n

 

a = 16  and  b = 21
(a - b) mod 37 = n


(16 - 21) mod 37 = - 5

n =37 + (-5) = 32

 Nov 14, 2020

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