Question

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 1

The Solution:

Let the two number be x and y133-x (

Such that:

`\begin{gathered} x<133-x \\ x=small\text{ number} \\ 133-x=larger\text{ number} \end{gathered}`

So,

`\begin{gathered} 4x=3(133-x) \\ \end{gathered}`

Solve for x:

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

Divide both sides by 7.

`x=(399)/(7)=57`

Therefore, the correct nswers are:

57 and 76