If aN={ax:x belongs to N} and bN intersect cN=dN where b,c belongs to N are relatively prime, then find the relation between b,c and d

Asked by amal kumar sarma | 5th Nov, 2013, 09:03: PM

Expert Answer:

bN = set of positive multiples of b
cN = set of positive multiples of c
 
bN intersection cN = set of positive multiples of bc
(since, b and c are prime)
 
It is given that:
bN intersection cN = dN = set of positive multiples of d
 
Therefore, bc = d

Answered by  | 11th Nov, 2013, 02:17: PM

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