biancatiwari4 biancatiwari4
  • 12-02-2018
  • Mathematics
contestada

The total of two numbers is 28. Four times the smaller number is 7 more than three times the larger number.

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TheAakash
TheAakash TheAakash
  • 12-02-2018
Let's define:
[tex]x \ \textless \ y[/tex]

So, you can set up a system of equations:
[tex]x + y = 28[/tex]
[tex]4x = 7 + 3y[/tex]

Now, to solve for both of those values, solve the system of equations:
[tex]x = 28 - y[/tex]
[tex]4(28-y) = 7+3y[/tex]
[tex]122-4y=7+3y[/tex]
[tex]115 -4y = 3y[/tex]
[tex]115 = 7y[/tex]
[tex]y = 16.43[/tex]

Now, plug that y-value into the first equation to solve for x:
[tex]x + 16.43=28[/tex]
[tex]x = 11.57[/tex]

Now, we have both the values. The smaller value (x) = 11.57 and the bigger value (y) = 16.43.
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