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irina1246 [14]
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]3 years ago
8 0

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]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

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Softa [21]

<u><em>Answer:</em></u>

Part a .............> x = 11

Part b .............> k = 57.2

Part c .............> y = 9.2

<u><em>Explanation:</em></u>

The three problems deal with inverse variation between two variables

An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)

<u>Mathematically, an inverse variation relation is represented as follows:</u>

y = \frac{k}{x}

where x and y are the two variables and k is the constant of variation

<u><em>Now, let's check the givens:</em></u>

<u>Part a:</u>

We are given that y = 3 and k = 33

<u>Substitute in the original relation and solve for x as follows:</u>

y = \frac{k}{x}\\ \\3 = \frac{33}{x}\\ \\x=\frac{33}{3}=11

<u>Part b:</u>

We are given that y = 11 and x = 5.2

<u>Substitute in the original relation and solve for k as follows:</u>

y=\frac{k}{x}\\ \\11=\frac{k}{5.2}\\ \\k=11*5.2=57.2

<u>Part c:</u>

We are given that x=7.8 and k=72

<u>Substitute in the original relation and solve for y as follows:</u>

y=\frac{k}{x}=\frac{72}{7.8}=9.2 to the nearest tenth

Hope this helps :)

6 0
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