From the given information, what are the ages of Yasuko's children (and expl!
Question: Yasuko: I have three children.
Mike: How old is each child?
Yasuko: The product of their ages is 36.
Mike: I cannot determine their ages.
Yasuko: The sum of their ages is the same as your apartment number.
Mike: I still cannot determine their ages.
Yasuko: The oldest likes baseball.
Mike: Okay, now I know their ages.
Answers: Yasuko: I have three children.
Mike: How old is each child?
Yasuko: The product of their ages is 36.
Mike: I cannot determine their ages.
Yasuko: The sum of their ages is the same as your apartment number.
Mike: I still cannot determine their ages.
Yasuko: The oldest likes baseball.
Mike: Okay, now I know their ages.
There are 8 possibilities for three numbers that equal 36 when multiplied: 1-1-36, 2-2-9, 3-3-4, 1-2-18, 2-3-6, 1-3-12, 1-4-9, and 1-6-6.
1 + 1 + 36 = 38. 2 + 2 + 9 = 13. 3 + 3 + 4 = 10. 1 + 2 + 18 = 21. 2 + 3 + 6 = 11. 1 + 3 + 12 = 16. 1 + 4 + 9 = 14. 1 + 6 + 6 = 13. From this, because Mike still doesn’t know what the answer is, you can conclude that at least two sums are the same. Only combinations 2-2-9 and 1-6-6 are equal, ruling the others out.
You can also assume both sets include twins because two numbers are the same in each, but because there’s an oldest child, the answer is 2-2-9.
3,6,and 2. the product of 3 and 6 is 18, mulitplied by 2 is 36. added togther is 11, which could be mikes apt #. 6 is a good age to pick up a baseball interest.