Permalink Submitted by Anonymous on April 24, 2013

The answer is Ages 1, 1 and 36!

Clue 1 makes sure that all the possible ages must have a product of 36. Many threads below have the right idea.

Clue 2 ensures that next door (always either+2 or -2) from your own number. Therefore the sum of the ages must be either +2 or -2 from the product. The only combination possible is 1, 1 & 36 with a product of 36 and a sum of 38.

Clue 3 cannot see the need for it! (But at 36 you could still be learning the piano!)

## The 2nd Clue does make Sense

The answer is Ages 1, 1 and 36!

Clue 1 makes sure that all the possible ages must have a product of 36. Many threads below have the right idea.

Clue 2 ensures that next door (always either+2 or -2) from your own number. Therefore the sum of the ages must be either +2 or -2 from the product. The only combination possible is 1, 1 & 36 with a product of 36 and a sum of 38.

Clue 3 cannot see the need for it! (But at 36 you could still be learning the piano!)

Youngest Middle Eldest Product Sum Diff

1 1 36 36 38 2

1 2 18 36 21 -15

1 3 12 36 16 -20

1 4 9 36 14 -22

1 6 6 36 13 -23

2 2 9 36 13 -23

2 3 6 36 11 -25

2 3 6 36 11 -25

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