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They had a total of $2700 in the end and they had the same amount meaning they had $2700/3 = $900 each in the end.

Before Bryan gave 1/3 of his money to Celine, he had $900 * 3/2 = $ 1350 and Celine had $900 – $ 450 = $ 450 and so Adam still had $900 then.

Before Adam gave 1/4 of his money to Bryan, he had $900 * 4/3 = $1200 and Bryan had $1350- $400 = $950.

So Bryan has $950 at first. 

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