"How many children have you,and how old are they?" asked the guest,a math matics teacher."I have three boys," said Hr.Cmith.The product of their ages is 72 and the sum of their ager is the street number.The guest went to look at the entrance,back and

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"How many children have you,and how old are they?" asked the guest,a math matics teacher."I have three boys," said Hr.Cmith.The product of their ages is 72 and the sum of their ager is the street number.The guest went to look at the entrance,back and
"How many children have you,and how old are they?" asked the guest,a math matics teacher.
"I have three boys," said Hr.Cmith.The product of their ages is 72 and the sum of their ager is the street number.
The guest went to look at the entrance,back and said :the problem is indeterminate.
Yes,that is so,said Mr.Smith,but Istill hope that the oldest boy will some day win the Stan ford competition.
Tell the ages of the boys,stating your reasons.
(答案+翻译)
(好的追加分)

"How many children have you,and how old are they?" asked the guest,a math matics teacher."I have three boys," said Hr.Cmith.The product of their ages is 72 and the sum of their ager is the street number.The guest went to look at the entrance,back and
“你有几个孩子?他们多大了?”那个身为数学老师的来宾问道.
“我有三个儿子.”史密斯先生(应该是Mr·Smith)说,“他们的年龄的乘积是72,总和是街道的编号.”
那来宾走过去望了街道入口,回来说:“这问题(的答案)是不确定的”
“是的,的确如此.”史密斯先生回答,“但我还是希望长子有一天能在斯坦福的竞争中胜出.”
请说出那些男孩的年龄,并说出原因.
应该是3,3,8
因为街道编号未提及,我们不妨设编号为A,A就是三个岁数之和,各种组合如下
1,1,72(A为74)
1,2,36(A为39)
1,3,24(A为28)
1,4,18(A为23)
1,6,12(A为19)
1,8,9(A为18)
2,2,18(A为22)
2,3,12(A为17)
2,4,9(A为15)
2,6,6(A为14)
3,3,8(A为14)
3,4,6(A为13)
由此可见,各种组合的和除了14有重复,其余的都是单一的,因此街道编号是14,来宾才不能确定答案是何种组合.
但最后史密斯先生说到“长子”,就证明年龄稍大的是一个,而非有两个,因此不是“2,6,6”的组合,而是“3,3,8”
另外,这道题也可以根据“斯坦福大学的竞争”,先把大儿子的年龄定位在20岁之下,即可以把前三种组合省略掉.
纯属个人推断,建议参考一下,假如回答不正确,请告诉我,谢谢!