<p>Question: When the positive integer k is divided by 7, the remainder is 6. What is the remainder when k + 2 is divided by 7?</p>
<p>I figured: k/7=6, k=42, 42+2=44, 44/7 = 6.3</p>
<p>But thats not is, have I lost it? What am I doing so wrong?</p>
<p>k=13</p>
<p>15/7 - > remainder = 1</p>
<p>answer is 1</p>
<p>Aha, I’m not 100% with all the terms yet 
(I’m a international student) Now I understand
I’ve got alot to study!</p>
<p>Thanks a million</p>
<p>The problem is saying, K/7= 1 + 6/7. Therefore, K+2=2+1/7. 1/7 would be…well… remainder of 1 out a possible remainder of 7…if that makes any sense…</p>
<p>Also you could try the “picking numbers” strategy… Take 49 (since 49 is divisible by 7).
Add 6, since that’s the remainder. You get k=55. (so k=55 will give a remainder of 6)
Now add 2 to k, getting 57.
Now, as you might remember, 7x7=49, and 7x8=56.
so k/7= 57/7 = (56+1)/7=8 remainder 1
so the answer is 1.
I know this is kind of long, but picking numbers helps me a lot.</p>
<p>I find substituting a number that meets the remainder requirement the easiest way to solve this kind of problems.</p>