问题
单项选择题
A sum of $200,000 from a certain estate was divided among a spouse and three children. How much of the estate did the youngest child receive ？（）
(1)The spouse received 
of the sum from the estate, and tile oldest child received of 
the remainder.
(2)Each of the two younger children received $12.500 more than the oldest child and $62,500 less than the spouse.
A.条件（1）充分，但条件（2）不充分.
B.条件（2）充分，但条件（1）不充分.
C.条件（1）和（2）单独都不充分，但条件（1）和条件（2）联合起来充分.
D.条件（1）充分，条件（2）也充分.
E.条件（1）和条件（2）单独都不充分，条件（1）和条件（2）联合起来也不充分.
答案
参考答案：B
解析：
(1)不充分，因为根据(1)无法求出最小的孩子获得多少钱；(2)充分，设两个较小的孩子得到的钱为x，根据题意可以列出下面的方程，从而求出x的值：
2x+(x-12500)+(x+62500)=200000
→x=$37,500