Juan le dice a su hermana Laura si me das dos euros tendremos la misma cantidad de dinero Laura le contesto a Juan si me das dos euros tendré el triple que tú cuánto dinero tiene cada uno

Juan has € 6 and Laura has € 10

Step-by-step explanation:

Juan has x €, Laura has y €.

Juan says to his sister Laura: "If you give me 2 euros, we will have the same amount of money."

Juan will then have x + € 2 and Laura will keep y - € 2.

That is to say:

x + 2 = y - 2

y = x + 4

Laura replies to Juan: "If you give me 2 euros, I will have triple what you do."

Laura would have this time y + € 2, and Juan x - € 2

3 * (x - 2) = y + 2

3 * x - 6 = y + 2

we substitute the y = x + 4 of the first equation:

3 * x - 6 = x + 4 + 2

3 * x - 6 = x + 6

We gather the x:

3 * x - x = 6 + 6

2 * x = 12

x = 12/2 = € 6

y = x + 4 = 6 + 4 = € 10

Therefore Juan has € 6 and Laura has € 10