for all integers a, b, c, If a/b - 2c and a/2b + 3c then a/b and a/c

Question

for all integers a, b, c,  If a/b - 2c and a/2b + 3c then a/b and a/c

Is a question from discrete mathematics

Thanks for your help.

Anonymous · Answer

just. substitute b-2c fr0m 2b+3c
first aq=b+2c..1,,ar=2b+3c ..b=aq-2c
try to find c by replacing b by it is value so u will get c=a(2q-r)where 2q-r is an integer ..do the same for b ,u will get b=a(2r-3q)where 2r-3q is an integer.

i hope that can help.