Question

3. George's age is three times that of his brother. When you add George's age to his brothers, youget 24. How old is each brother?a) Write an equation that represents the situation. Explain any variable usedb) Solve the equation from Part (a). Show your work. State your solution as a completesentence.Answer:

Answer 1

We have two unknown values, the George's age, that we call x, and the age of George's brother, that we call y.

So, the first equation is that George's age is three times that of his brother:

`3x=y`

The second equation is, when you add George's age to his brother you get 24:

`x+y=24`

The equations answer the point a).

For part b), we have to solve the equations. We can see that we can replace the value of y in the first equation (y=3x) into th second equation, so:

`\begin{gathered} x+y=24 \\ x+3x=24 \\ 4x=24 \\ x=(24)/(4) \\ x=6 \end{gathered}`

We found that x=6, so the George's age is 6 years, and the age of his brother is three times 6,, so it's 18 years.