If you make two words at the same time and one of the letters is used in both of the words at the beginning of the words and the tile is a double letter score -- do you use the double letter score for one of the words only or for both of the words.
For instance:
K E E L I T E
and the tile the letter K is the double letter score.
Hi DAR - The answer to this one is short and sweet: YES. If you place a letter on the board so that it is 'double-crossed' on a premium square, the premium square counts twice. So in your example, the K is doubled twice.
Top players use this fact routinely to score huge points for the high-value tiles. Just playing the single X on a triple letter square to form XI in one direction and AX in the other direction, for example, will usually score an easy 50 points!