Question

Is there an integer that has a remainder of 2 when it is divided
by 5 and a remainder of 3 when it is divided by 6?
a. Is there an integer n such that n has ?
b. Does there exist such that if n is divided by 5 the
remainder is 2 and if ?

Answer 1

yes, I believe the answer is 27

Answer 2

How did you get that?

Answer 3

you would solve this problem by first thinking of all the number that would have a remainder of two when divided by 5
which would be numbers like 7, 12, 17, 22, 27, etc...

Answer 4

then you just go through those until you find one that is divisible by 6 with a remainder 3 as well