Question

Remember that Gerry is 5 more than three times Carol's age.

Answer 1

Using a system of equations, it is found that Carol is 10 years old.

The complete problem is:

"Gerrys age is 5 more than three times Carols age. If the sum of their age is 45, how old is carol?"

System

The variables are:

• Variable x: Gerry's age.

• Variable y: Carol's age.

Gerry is 5 more than three times Carol's age, hence:

$x = 5 + 3y$

The sum of their ages is 45, hence:

$x + y = 45 \rightarrow x = 45 - y$

We then use the first equation to find Carol's age:

$45 - y = 5 + 3y$

$4y = 40$

$y = \frac{40}{4}$

$y = 10$

Carol is 10 years old.

To learn more about system of equations, you can take a look at brainly.com/question/13773803