设最后一个数为y,被去的数为x
则一共有y-11个数,和为(y+12)(y-11)/2
去掉x后剩y-12个数,和为(y+12)(y-11)/2-x
故 [ (y+12)(y-11)/2-x ]/(y-12)＝952/19
化简得x=(y+12)(y-11)/2-952/19×(y-12)
又x,y∈N＋
所以设y-12=19n
根据x=(y+12)(y-11)/2-952/19×(y-12)
y-12=19n
12≦x≦y得3.958≦n≦4.063
所以n=4
则y=88
x=42