Answered

The sum of the two numbers is 133. Four times the smaller of the two numbers equals three times the greater number find the numbers using one variable.

Answer :

The Solution:

Let the two number be x and y133-x (

Such that:

[tex]\begin{gathered} x<133-x \\ x=small\text{ number} \\ 133-x=larger\text{ number} \end{gathered}[/tex]

So,

[tex]\begin{gathered} 4x=3(133-x) \\ \end{gathered}[/tex]

Solve for x:

[tex]\begin{gathered} 4x=399-3x \\ \text{ Collect the like terms.} \\ 4x+3x=399 \\ 7x=399 \end{gathered}[/tex]

Divide both sides by 7.

[tex]x=\frac{399}{7}=57[/tex]

Therefore, the correct nswers are:

57 and 76

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