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Guest

This is one of my favorites:

Two mathematicians that are long time friends meet.

-"What are the ages of your three sons?"

-"The product of their ages is 36 and the sum of their ages is today's date."

-"That doesn't tell me the ages of your sons."

-"My fault, my youngest son has red hair."

-"Ah, now I know the ages of your sons."

How does he know? (Show work if you can figure it out)

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2 answers to this question

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Guest

think its already been posted but never the less ill give it a go...

find all the possibilities for 36

1,1,36 - No youngest

1,2,18

1,3,12

1,4,9

1,6,6

2,2,9 - No youngest

2,3,6

3,3,4 - No youngest

leaving...

1,2,18

1,3,12

1,4,9

1,6,6

2,3,6

as far as i understand it no further information is given. Unless... todays date is the 26th, nope none ad up to 26?

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