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13 August, 17:33

Two numbers total 53 and have a difference of 25. Find the two numbers.

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  1. 13 August, 21:31
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    Two numbers (x + y) equal (=) 53

    and

    have a difference (x - y) of (=) 25.

    So, x + y = 53 and x - y = 25.

    Solve one equation for a variable. We'll solve for x in the first equation.

    x + y = 53 Subtract y from both sides

    x = 53 - y

    Substitute x for (53 - y) in the second equation.

    x - y = 25 Substitute (53 - y) in the x spot

    53 - y - y = 25 Combine like terms (-y and - y)

    53 - 2y = 25 Subtract 53 from both sides

    -2y = - 28 Divide both sides by - 2

    y = 14

    Now, find x by plugging this y-value (14) into the first equation.

    x + y = 53 Substitute y for 14

    x + 14 = 53 Subtract 14 from 53

    x = 39

    Check both of your answers by plugging them into the original equations.

    x + y = 53 Plug in your numbers (39 and 14)

    39 + 14 = 53 Add

    53 = 53

    x - y = 25 Plug in your numbers (39 and 14)

    39 - 14 = 25 Subtract

    25 = 25

    So, your answers are x = 39 and y = 14.
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