6. Given that the sum of two positive numbers is 5 times their difference. Then the ratio of the larger number to the smaller number is ( ).
(A) $\frac{5}{4}$
(B) $\frac{3}{2}$
(C) $\frac{9}{5}$
(D) 2
(E) $\frac{5}{2}$
6. B.

Let these two positive numbers be $a, b(a>b)$. According to the problem, $a+b=5(a-b) \Rightarrow \frac{a}{b}=\frac{3}{2}$.