Nine cards, each of a different color and each with a different digit 1 - 9 have been arranged in a circle.

All except the gray card are between an odd digit and an even digit.

The hazel, indigo, jade and khaki cards are consecutive in that order clockwise around the circle, with the digits on the first three adding to give the digit on the fourth.

The lime, magenta and navy cards are consecutive in that order clockwise around the circle, with the digits on the first two summing to give twice the digit on the third.

There is also an orange card.

In some cases the digit on a card equals the sum of the digits on the neighboring two cards. The number of occurrences of this situation is the digit on the hazel card.

Starting with the "1", what are the numbers on, and colors of, the cards, clockwise around the circle?

There “circle” is:
.. gray 1 .. hazel 3 .. indigo 2 .. jade 4 .. khaki 9 .. orange 5 .. lime 8 .. magenta 6 .. navy 7 ..

Posted by Dej Mar on 2007-10-17 11:10:36