Question

George’s age is three times that of his brother. When you add George’s age to his brother’s, 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

George is 18 and his brother is 6

Explanation:

let the brother's age be n then George's age is 3n ( 3 times his brother's age )

n + 3n = 24 ( sum of their ages )

4n = 24 ( divide both sides by 4 )

n = 6

and 3n = 3 × 6 = 18

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

Answer 2

G=18

Explanation:

George-G

1/3G+G=24

4/3G=24

3/4*4/3G=24*3/4

G=18

George will be 18 years old there we can find his brothers age by dividing it by three thus 18/3=6