SOLUTION: Disprove: If a, b, and c are integers such that a does not divide b and c does not divide d, then a+c does not divide b+d

Algebra.Com
Question 527300: Disprove:
If a, b, and c are integers such that a does not divide b and c does not divide d, then a+c does not divide b+d

Answer by richard1234(7193)   (Show Source): You can put this solution on YOUR website!
Counterexample: Let a = 2, b = 7, c = 3, d = 13. Here, the conditions are met, but a+c divides b+d (5 divides 20).
RELATED QUESTIONS

4) A student claims “If d does not divide a and d does not divide b, then d does not... (answered by jim_thompson5910,solver91311)
Find nonzero matrices A; B; C such that AC = BC and A does not equal... (answered by Fombitz)
Find a point D(x, y) such that the points A(-3,0), B(4,-1), C(0,-4), and D are the... (answered by Edwin Parker)
if nut a fits bolt b, bolt c does not fit nut a or b, nut d fits bolt b, bolt c and bolt... (answered by solver91311)
If (ab)/(b - a) = 1 and a does NOT equal b, what is a in terms of b? A) (b + 1)/b B)... (answered by bucky)
If a=b\5 and b not = 0 what does 4b equal interms of a. A) 4a\5 B)20a C)a\20 D)... (answered by Alan3354)
If A+B=C and C+D=EA What does B+D equal? (answered by richwmiller)
What type of symmetry does afigure have if you can divide it along a line into two parts... (answered by Mona27)
3.Among employees of a certain firm, 70% know C/C++, 60% know Java, and 50% know both... (answered by jrfrunner,ValerieDavis)