Question

George’s age is three times that of his brother. When you add George’s age to his brothers, you get 24. How old is each brother? a) Write an equation that represents the situation. Explain any variable used. b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence

Answer 1

Answer: the equation is

x + 3x = 24

x is the brother's age. 3x is George's age.

George is 18 years old, and his brother is 6 years old.

Explanation:

x +3x=24 Combine like terms.

4x = 24 Divide both sides by 4

4x/4 =24/4

x = 6. Check

6+ 3(6) =24

6+18=24. True.