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When 17 is divided by k, where k is a positive integer less than 17, the remainder is 3. What is the remainder when the sum of the possible values of k is divided by 17? (a) 2 (b) 3 (c) 4 (d) 5 (e) 6

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Well, what do we know?
well k is less than 17 and is positive
Wait....ignore me...I'm...doing other stuff right now, sorry.

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Someone else, please help!
the numbers are 7 and 14, 17/14 remainder of 3 17/(2*7) same thing 14+7 = 21 so 21/17 = 4
remainder of 4*
lol this really sounds like a SAT 1 questions :p
it is :p
so the answer is 4
u r dividing 17 by k and have remainder 3 then u have the following equation \[ \large 17=kq+3 \]
i'm sure u know this
lol well good luck w/ the sat @lawls :p
yeah i'm here thanks
r u following me?
ok so since 17=kq+3 then 17-3=kq or 14=kq. Since k is positive then q must also be positive.
what positive numbers will give u 14 when multiplied?
7 and 2, 1 and 14
not k=1. do u know why?
no why
17/1 = 17 with no remainder so remainder is 0 not 3
oh yeah i see
because you would have \[ \large \frac{17}{1}=17 \] and u would not have a remainder but u r told that u DO have a remainder
same with 2
so what do you get when you add the two choices?
and whats the remainder of 21/17?
u got it
so the answer's (c) thanks guys :)
u r welcome

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