Question

When x is divided by 7 the remainder is 2. What is the remainder when x+5 is divided by 7?

Answer 1

lets try an example
if you divide 23 by 7 the remainder is 2
what is the remainder when you divide 23+ 5= 28 by 7 ?

Answer 2

0

Answer 3

Is that because 5+2=7, leaving no remainder?

Answer 4

@satellite73 So if you add 6 instead, the remainder would be 1?

Answer 5

yes. you could say
x/7 = n (some integer), plus remainder 2
that means 7n+2= x (undo the division)
now add 5 to both sides
7n+2+5= x+5
or
7n+7 = x+5
or
7(n+1)= x+5
and the left side is evenly divisible by 7
no remainder

if we added 6 instead of 5
7n+8 = x+6
and dividing the left side by 7: (7n+8)/7 = 7n/7 +8/7
= n+1 remainder 1