If a divides b and b divides a then a bSolution5 If a and

If a divides b and b divides a, then a = b.

Solution

5 ) If a and b are integers, we say a divides b if there exists an integer k so that b=ak

Thus ,

b = ak

a = bj

a = akj

kj = 1

Since a divides b and b divides a, we know that k,j must both be integer, which means k and j must both equal 1 or -1.

Hence,

a = b

( or )

(1) If a divides b, then b a

(2) If b divides a, then a b

i.e a b follows a = b or a greater than b

But a is not greater than b since b a

Hence,

a = b