The H.M. between two numbers is 16/5, their A.M. is A and G.M. is G. If 2A + G2 = 26 then the numbers are
6, 8
4, 8
2, 8
1, 8
2aba+b=165,a+b+ab=26⇒a+b=58ab,a+b+ab=26
∴138ab=26⇒ab=16 and a+b=10
Thus, numbers are 2 and 8.