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Jason's age is 1 2 of his brother's age. His brother's age can be represented by the expression 12a - 9. Write an expression that can be used to represent the sum of their ages. A) 12a - 5.5 B) 18a - 13.5 C) 18a + 21 Eliminate D) (12a-9) 2

Respuesta :

B. 18a-13.5   The expression 6a-4.5 can represent Jason's age. (Because this is half of the given expression for his brother.) When 6a-4.5 is added to the age of his bother, 12a-9, the result is the function 18a-13.5.

Answer:

[tex]18a - 13.5[/tex]

Step-by-step explanation:

Jason's age is [tex]\frac{1}{2}[/tex] of his brother's age.

Brother age is [tex]12a-9[/tex]

Sum of their ages = Age of Jonson + age of his brother

Jonson's age = half of his brother age

[tex]Jonson's \ age=\frac{12a-9}{2}[/tex]

Sum of their ages =[tex]\frac{12a-9}{2}+12a-9[/tex]  

Take common denominator 2

[tex]\frac{12a-9}{2}+\frac{24a-18}{2}[/tex]  

[tex]\frac{36a-27}{2} [/tex]  

[tex]18a - 13.5[/tex]