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.

Question

asked Feb 23, 2023 152k views

1 Answer

Jwhazel · Answer 1 · 2023-02-27T03:45:55+0000

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.

Therefore, the correct nswers are:

57 and 76