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Mike tells Dan he has three kids, for which the multiplication of ages is 36. Dan needs more data. Mike says that the sum of their ages eqauls to the number of the bus that has just passed. Dan says that he still needs more data. "Today is the birthday of my eldest son", adds Mike. Dan figures out thier ages.

2006-07-01 07:42:41 · 9 answers · asked by dan m 2 in Science & Mathematics Mathematics

9 answers

9, 2, and 2

It doesn't really matter what the number on the bus was (although it has to be 13). The important thing is that the ages of the kids add up to the same number in more than one combination, that is why the number on the bus didn't help Dan. The only number that is the sum of two (or more) combinations of divisors of 36 is 13. This can be achieved by 9,2,2 or 6,6,1. Since Mike said he had an eldest son, we assume that there is a singular eldest son, thus eliminating 6,6,1. So the ages are 9, 2, and 2.

You should be aware of something though. You said he has three kids (could be mixed gender) and that he has an eldest son. In reality, the ages could be 6, 6, and 1 where the 6 year olds are mixed genders. In that case there would be an eldest son. You should be careful when you ask the question.

2006-07-01 07:49:10 · answer #1 · answered by Eulercrosser 4 · 3 1

They're either

1, 1 and 36
1, 2, and 18
1, 3, and 12
1, 4, and 9
1, 6, and 6
2, 2, and 9
2, 3, and 6

The bus number is 38, 21, 16, 14, 13, 13, or 11.
If the bus number was anything but 13, Dan would know, so the bus number must be 13. Mike has at least 2 sons, or he wouldn't have said "eldest son". If his kids were 1, 6, and 6, his eldest son would be 6, but both his sons would be 6. Therefore, his eldest son is 9, his kids are 9, 2, and 2.

2006-07-01 14:54:05 · answer #2 · answered by kimmyisahotbabe 5 · 0 0

6, 2 and 3

2006-07-01 14:46:49 · answer #3 · answered by neatdude007 2 · 0 0

ages are 2, 9, and the eldest just turned 18.

2006-07-01 14:50:10 · answer #4 · answered by Shikibeeks 3 · 0 0

9,2,2
The bus is irrelevant. The eldest son is relevant. The younger 2 are twins.

2006-07-01 16:53:28 · answer #5 · answered by izackcarson 2 · 0 0

uhhh 2, 3, and 6?........or 2, 2(twins), and 9......it would help to know the number of the bus that passed................
3, 3, and 4?
too many answers!!!!!!

2006-07-01 14:49:05 · answer #6 · answered by my_cat_rocks 2 · 0 0

good for Dan

2006-07-01 14:49:31 · answer #7 · answered by wellaem 6 · 0 0

bad formulated questions don't have to be answered

2006-07-01 14:56:13 · answer #8 · answered by Piro juzz 1 · 0 0

are you serious

2006-07-01 14:46:07 · answer #9 · answered by joe c 1 · 0 0

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