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Batman's age is 4 more than twice of robins age. When you add batman's age to robins you get 58. How old is batman and how old is Robin
Part A: Use x to repersent Robins age. Write an equation that represents the situation
Part B: Solve the equation from Part A Show your work. State your solution as a complete sentence​

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.

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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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