Answer :
Using a system of equations, it is found that:
- Batman is 40 years old.
- Robin is 18 years old.
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For our system, we have that:
- Batman's age is x.
- Robin's age is y.
Batman's age is 4 more than twice robin's age.
This means that:
[tex]x = 2y + 4[/tex]
When you add Batman's age to robin's age you get 58.
This means that:
[tex]x + y = 58[/tex]
Considering [tex]x = 2y + 4[/tex]
[tex]2y + 4 + y = 58[/tex]
[tex]3y = 54[/tex]
[tex]y = \frac{54}{3}[/tex]
[tex]y = 18[/tex]
Then
[tex]x = 2y + 4 = 2(18) + 4 = 36 + 4 = 40[/tex]
- Batman is 40 years old.
- Robin is 18 years old.
A similar problem is given at https://brainly.com/question/17096268