# When a positive integer k is divided by 7, the remainder is 6. What is the remainder when k+2 is divided by?

##### 1 Answer

see a solution step below;

#### Explanation:

**Method 1**

A simple rule of thumb is;

Therefore according to the question, the integer is

So;

We can say let the unknown we are dividing by be represented with

When

Therefore the remainder is

**Method 2**

We can also use instincts..

Now we are looking for a number that will divide

We have

Now if,

Therefore,