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23 February, 10:25

A first number plus twice a second number is 9. Twice the first number plus the second totals 21. Find the numbers

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  1. 23 February, 13:30
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    Let x and y be the numbers;

    We have x + 2y = 9 and 2x + y = 21;

    Then, x = 9 - 2y;

    Finally, 2 (9-2y) + y = 21;

    18 - 4y + y = 21;

    18 - 3y = 21;

    -3y = 3;

    y = - 1;

    x = 9 - 2 * (-1);

    x = 9 + 2;

    x = 11;
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