My 600 followers problem!

Algebra Level 5

Consider an arithmetic progression \(<a_n> : a_1,a_2,a_3,a_4, \ldots\) such that \(a_{2015}= 600,a_{600}=2015\)

Consider another arithmetic progression \(<b_n> : b_1,b_2,b_3,b_4,\ldots\) such that sum of its first \(2015\) terms \(S_{b,2015}=600\) , and the sum of its first \(600\) terms \(S_{b,600}=2015\).