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Sagot :
Using a system of equations:
a)
The system is:
[tex]x + y = 58[/tex]
[tex]y = 2x + 4[/tex]
b)
Robin is 18 years old and Batman is 40 years old.
-------------------------
Item a:
- The equations are built considering Robin's age as x, and thus, Batman's y.
Batman's age is 4 more than twice of robins age.
Thus, [tex]y = 2x + 4[/tex]
Sum of the ages is 58, thus:
[tex]x + y = 58[/tex]
Then, the system is:
[tex]x + y = 58[/tex]
[tex]y = 2x + 4[/tex]
Item b:
Applying the second equation into the first:
[tex]x + y = 58[/tex]
[tex]x + 2x + 4 = 58[/tex]
[tex]3x = 54[/tex]
[tex]x = \frac{54}{3}[/tex]
[tex]x = 18[/tex]
Then, for y:
[tex]y = 2x + 4 = 2(18) + 4 = 36 + 4 = 40[/tex]
Robin is 18 years old and Batman is 40 years old.
A similar problem is given at https://brainly.com/question/24939834
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