一个三位数除以三位数三个数字的和,商要最大.这个三位数是

设三位数ABC(100A + 10B + C) ÷ (A + B + C)= (10A + 10B + 10C + 90A - 9C)÷ (A + B + C)= 10 + 9(10A - C)÷ (A + B + C)对(10A - C)÷ (A + B + C)显然C最小时,分子最大,分母最小,因此取C = 0(10A - C)÷ (A + ...