##### 问题：Dr. Chen is organizing a number guessing game in h

Dr. Chen is organizing a number guessing game in his Math Problem Solving class. Three smart students Adam, Ben and Wukong are the participants. They need to find two numbers x and y, such that 1<x<y<10. Dr. Chen gives the sum x+y to Adam, the product xy to Ben and the sum x+y+xy to Wukong. The 3 students are asked to write down their answer if they know. But no one knows what x and y are. After knowing that no one knows the answer in the first round, all of the 3 students know the correct answer in the second round. What are these two numbers x and y? Show your reasoning.

##### 结论/结果

29

##### 解答

Ben知道两个数的积却不知道两个数，说明这两个数的积能写成另一对数的积，只能是其中某一对26、34、46、38、29、36

Wu知道xy+x+y=(x+1)(y+1)-1却不知道两个数，说明两个数各加1后的积能写成另一对数加1的积，可以排除26、34、46、38、36，

最后剩下的是29