解:依题意得方程组,a+b=35 (1)a+2b=47 (2)(2)-(1)得a+2b-(a+b)=47-35a+2b-a-b=12b=12将b=12带入(1)得a+12=35a=35-12a=23即a=23,b=12
(2)-(1)得b=12