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17 July, 16:53

The sum of two numbers is 21. The larger number is 6 less than two times a number. What are the two numbers?

I need two equations!

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Answers (1)
  1. 17 July, 20:10
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    The value of the smaller number, y, is equal to 9. The value of the larger number, x, is equal to 12.

    x + y = 21

    x = 2y - 6

    We have a value for x, so we can plug it into the original equation to solve for y.

    2y - 6 + y = 21

    Combine like terms.

    3y - 6 = 21

    Add 6 tot both sides.

    3y = 27

    Divide both sides by 3.

    y = 9

    Now that we have a value for x, we can plug it into the 2nd equation to solve for x.

    x = 2 (9) - 6

    x = 18 - 6

    x = 12
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