SOLUTION: when a positive integer n is divided by 5, the remainder is 4. which of the following expressions will yield a remainder of 2 when it is divided by 5 ? a n+1 b n+2 c n+3 d

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: when a positive integer n is divided by 5, the remainder is 4. which of the following expressions will yield a remainder of 2 when it is divided by 5 ? a n+1 b n+2 c n+3 d      Log On


   

Question 303214: when a positive integer n is divided by 5, the remainder is 4. which of the following expressions will yield a remainder of 2 when it is divided by 5 ?
a n+1 b n+2 c n+3 d n+4 e n+5
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
n%2F5=p%2B4, where p is an integer.
n=5p%2B20
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.
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%28n%2Ba%29%2F5=n%2F5%2Ba%2F5=p%2B4%2Ba%2F5=q%2Ba%2F5, where q is an integer.
a%2F5=2%2F5
a=2
so then b) is the correct answer.