Question

How many integers between 27 and 53 have a remainder of 4 divided by 6

Answer 1

There are 4 integers between 27 and 53 that have a remainder of 4 divided by 6.

Explanation:

At first we need to find which integers between 27 and 53 are divisible by 6, which are, respectively:

`A =\{30, 36, 42, 48\}`

All integers that have a remainder of 4 divided by 6 are found by summing 4 to each element of A, that is:

`A' = \{34,40,46, 52\}`

There are 4 integers between 27 and 53 that have a remainder of 4 divided by 6.