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16 March, 00:17

The sum of three numbers is 2100. the first number x is equal to the sum of the other two (y and z) which are equal to each other. what are the three numbers x, y and z

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  1. 16 March, 02:13
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    We will have a system of equations, and we are going to solve it by using substitution.

    Let's make the equations.

    x+y+z=2100

    z+y=x

    Since y and z are equal, I think it is easier for us to have them as one variable for now. Let the value of z and y be a.

    These are the equations now.

    x+2a=2100

    2a=x

    Since the second equation is giving the value of x, let it replace the value of x also in the first equation.

    2a+2a=2100

    4a=2100

    2100:4 = 525

    so, x and y equal 525. Let's put this in our original equation.

    x+525+525=2100

    x + 1,050 = 2,100

    x = 1,050

    So, x=1,050, y = 525 = z.
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