Consider the set Tof positive integers d for which there exists an integer n such that d evenly divides both (13n + 6) and (12n + 5). find the sum of the elements of T.
2006-10-05 07:03:35 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Neat question. Clue: if d divides A and B, then d divides (A-B) and d divides kB.
Working: d divides (13n+6) and (12n+5), therefore divides (n+1), therefore divides (12n+12), therefore divides 7.
Therefore d = 1 or d = 7, sum(T) = 8.
2006-10-05 07:34:43 · answer #1 · answered by Anonymous · 0⤊ 0⤋
T = {1,7}
The sum of the elements of T is 8.
2006-10-05 07:36:04 · answer #2 · answered by Cara B 4 · 0⤊ 1⤋
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2006-10-05 12:30:46 · answer #3 · answered by Sasha 2 · 0⤊ 0⤋
Im sorry but you lost me im not good in Math only History! Sry
2006-10-05 07:11:29 · answer #4 · answered by softball_chick25276 2 · 0⤊ 1⤋
The answer is... NO! I don't want to consider it!
2006-10-05 07:11:34 · answer #5 · answered by ChicaLoca 3 · 1⤊ 1⤋