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

Question

3 years ago

14

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.

Mathematics

2 answers:

Murrr4er [49] · Answer 1 · 2022-03-08T23:34:06+03:00

Answer:

George is 18 and his brother is 6

Step-by-step 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.

vivado [14] · Answer 2 · 2022-03-08T21:33:14+03:00

vivado [14]3 years ago

5 0

Answer:

G=18

Step-by-step 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