Help me heureka

Dieter had 3 times as many flags in her collection as Andrew. When Dieter gave 8 flags to Andrew, each of them had exactly the same amount. How many flags did they have altogether?

Hello Guest!

Andrew has x flags at the beginning. Then the following applies:

$3x-8=x+8\ |\ -x+8\\ 2x=16\ _\ | :2\\ \color{blue} x=8\\ \color{blue} 3x=24\\\color{blue} x+3x=32$

Dieter and Andrew together have 32 flags.

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