Question

Let A=0•a1a2a3a1a2a3••••and B=0•b1b2b1b2.....where a1 ,a2,a3,b1,b2 are integers from 1to9 not necessarily distinct.prove that 10989*(A+B) is an integer

Answer 1

[math]A= 0.a_1a_2a_3a_1a_2a_3\dotsc[/math] [math]1000A= a_1a_2a_3.a_1a_2a_3\dotsc[/math] Subtractin