Riddle

A certain number has three digits. The sum of the three digits equals 36 times this number. Seven times the left digit plus 9 is equal to 5 times the sum of the two other digits. 8 times the second digit minus 9 is equal to the sum of the first and third. What is the number?

Answer

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Answer

324 is the answer.

Why it works

The answer makes sense once you stop reading the setup in the most literal everyday way.

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