Analysis: A gets half of all B's money, and A has 48 yuan. A+1/2b = 48;

B gets 2/3 of all A's money, and B has 48 yuan. B = 48-2/3a;

A+1/2(48-2/3 A) =48.

A +24- 1/3 A =48

2/3 A =48-24

2/3 A =28

A =36 (yuan)

B =48-2/3×36=24 (yuan)