When a positive integer p is divided by 7, the remainder is 2. Which of the following expression will yield a remainder of 4 when divided by 7?

Question

anonymous · Answer

1.p+2
2.P+3
3.P+4
4.P+5
5.P+6

ganeshie8 · Answer

any ideas ?

ganeshie8 · Answer

maybe use your knowledge about long division and make a best guess...

anonymous · Answer

... I would guess its P+2 im not sure...

jim_thompson5910 · Answer

`a positive integer p is divided by 7, the remainder is 2` means we have this equation

p/7 = q + 2/7

where q is some integer (q for quotient)

jim_thompson5910 · Answer

multiply both sides by 7 and distribute to get

p = 7q + 2

jim_thompson5910 · Answer

the goal from here is to somehow get that '2' to turn into '4'

we do this by adding 2 to each side, so,

p = 7q + 2
p+2 = 7q + 2+2
p+2 = 7q + 4

that turns back into

(p+2)/7 = q + 4/7

so you're right, the answer is indeed p+2