解一道英语数学题,“How many children have you,and how old are they?"asked the guest ,a mathematics teacher."I have three boys."said Mr.Smith.The product of their ages is 72 and the sum of their ages is the street number.The guest went to loo

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解一道英语数学题,“How many children have you,and how old are they?"asked the guest ,a mathematics teacher."I have three boys."said Mr.Smith.The product of their ages is 72 and the sum of their ages is the street number.The guest went to loo
解一道英语数学题,
“How many children have you,and how old are they?"asked the guest ,a mathematics teacher.
"I have three boys."said Mr.Smith.The product of their ages is 72 and the sum of their ages is the street number.
The guest went to look at the entrance,came back and said:"The problem is undetermined."
"Yes,that is so," said Mr.Smith,but I still hope that the oldest boy will some day win the Stanford competition."
Tell the ages of the boys,stating your reasons.
最好能给出具体解题思路。另外,题中,斯坦福竞赛是什么?几岁到几岁可以参加?会给悬赏100!

解一道英语数学题,“How many children have you,and how old are they?"asked the guest ,a mathematics teacher."I have three boys."said Mr.Smith.The product of their ages is 72 and the sum of their ages is the street number.The guest went to loo
72可以分解成3个数字的乘积
72*1*1
36*2*1
18*4*1
9*8*1
12*6*1
18*2*2
6*4*2
6*6*2
8*3*3
以上3个数字的和可能是
72+1+1=74
如此计算下面依次为
39
23
18
19
15
22
13
14
14
回答者知道街道号,但无法判断,可见三个数字和应该是14(看出有两组的和均为14),而提问者有最大的儿子,可见他们的年龄应该分别为8,3,3(6,6,2无最大年龄)
斯坦福竞赛与解题无关

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