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the sum of two numbers is the same as four times the smaller number.if twice the larger is decreased by the smaller,the result is 30.find the numbers

  • algebra -

    let x be the smaller, and y the larger

    x+y = 4x

    2y - x = 30

    solve the two equations.
    I would take the first down to y = 3x and use substitution

  • algebra -

    From the first statement, x + y = 4x, or y = 3x, x being the smaller number.

    From the second statement, 2y - x = 30.

    Substitute the first into the second and you are on your way.

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