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16 June, 03:52

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

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  1. 16 June, 05:38
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    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
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