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In a 7-digit numerical code, each group of four adjacent digits adds to 16, and each group of five adjacent digits adds to 19.
What is the sum of all seven digits?
Adjacent Additions
Age 14 to 16
ShortChallenge Level 
In a 7-digit numerical code, each group of four adjacent digits adds to 16, and each group of five adjacent digits adds to 19.
What is the sum of all seven digits?
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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