I am struggling with a concept on remainder problems regarding the quotient about what form it can or cannot take. For example lets look at one example problem:
What is the remainder when B is divided by 6 if B is a positive integer?
(1) When B is divided by 18, the remainder is 3
(2) When B is divided by 12, the remainder is 9
Answer::
What is the remainder when B is divided by 6 if B is a positive integer?
(1) When B is divided by 18, the remainder is 3 --> B=18q+3=6*(3q)+3, thus B divided
...
What is the remainder when B is divided by 6 if B is a positive integer?
(1) When B is divided by 18, the remainder is 3
(2) When B is divided by 12, the remainder is 9
Answer::
What is the remainder when B is divided by 6 if B is a positive integer?
(1) When B is divided by 18, the remainder is 3 --> B=18q+3=6*(3q)+3, thus B divided
...
