Alphametic BaseBall

Replace the letters of words with a number so that the below equation holds true

BASE +
BALL
---------
GAMES
----------




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You stand in front of two doors. A guard stands next to each door. You know the following things: one path leads to paradise, the other leads to death. You cannot distinguish between the two doors. You also know that one of the two guards always tells the truth and the other always lies. You have permission to ask one guard one question to discover which door leads to paradise. What one question would you ask to guarantee you enter the door to paradise?

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Given below is simple addition with a defined pattern pattern:
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If,

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