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Two barrels of math problems
You can set an unknown number to solve.

The final answer: A: 7 B: 17

Another way, we can know that A plus 10 is as much as B, so B plus 4 is three times as much as A, that is to say, A plus 10 plus 4 is three times as much as itself, so the extra 14 is twice as much as A itself, so A is 7 and B is 17.