Question

3. George’s age is two times that of his brother. When you add George’s age to his brother’s age, 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: George is sixteen and his brother is eight.

Step-by-step explanation:

Equation: x + 2x = 24

X represents the age of his younger brother.

Combining like terms. 2x + x = 3x

So now our equation should look like 3x = 24

Divide both sides by three. Leaving x = 8

3x divided by three = x

24 divided by three = 8

Input x.

8 + 2(8) = 24

8 + 16 = 24

24 = 24

Answer 2

answers:

each brother's age= geroge-8 brother-16

a) 2x+x=24, x is George's age, and twice that is his brother's.

b) 2x+x=24

Step 1: Simplify both sides of the equation.

2x+x=24

(2x+x)=24(Combine Like Terms)

3x=24

3x=24

Step 2: Divide both sides by 3.

3x/3=24/3

x=8

george is 8 years old, and by multiplying 8 by 2, we will get 16, which we will add to the original 8 to get 24, justifying the equation as the sum of the brothers' age was 24, having George's brother's age twice his.