Friday, January 20, 2012

Insurance Salesman Riddle

(Dont scroll down too far solution is at the bottom of this post)

There was a insurance salesman who was trying to
sell insurance (wow! :D). He went up to this lady's house
and knocked on the door. She came to the door and they
started talking about many things.
They talked about how she had a family.
She had three children whom she loved very much. Then she said "Sir if you guess the ages of my three children I will buy your insurance" he then said "Ok! :)"





Lady: "The product of my children's ages equal to 36"

Salesman: "Ok I need another clue"

Lady: "The sum of my children's ages equal to the number of the house next door"

So he goes and looks at the address of the house next door. He comes back and says "I need one more clue"

Lady: "My eldest daughter plays the piano"

What are the ages of her children?

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SOLUTION

The lady said that the product of her children's equal 36 which could equal several different possibilities. (1x1x36=36, 1x6x6, 1x12x3, etc)...She then said that the sum of her children's ages equal to the house next door. We do not know the number how do we figure it out? The salesman came back and needed one more clue. So that means the number next door must of had two possibilities that had a sum equal to the same number. This number was 13 but the only possibilities that equaled the same were (1x6x6 and 2x2x9). But we still do not know which answer it is. So she says my eldest daughter plays the piano. Since she did not say she had 2 eldest daughters the answer is 2,2 and 9.