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?
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any ideas ?
maybe use your knowledge about long division and make a best guess...
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... I would guess its P+2 im not sure...
`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)
multiply both sides by 7 and distribute to get
p = 7q + 2
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