Middle School

Select the correct answer.

Ed is 7 years older than Ted. Ed's age is also \(\frac{3}{2}\) times Ted's age. How old are Ed and Ted?

A. Ted is 15 years old, and Ed is 22 years old.
B. Ted is 14 years old, and Ed is 21 years old.
C. Ted is 12 years old, and Ed is 20 years old.
D. Ted is 12 years old.

Answer :

Ted is 14 years old, and Ed is 21 years old option (B) is correct, if Ted, and Ed's age is also 3/2 times Ted's age.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Ed is 7 years older than Ted, Ed's age is also 3/2 times Ted's age.

Let Ted's age is x years old

and Ed's age is (x + 7) years old:

From the data given in the question, the linear equation in two variables can be framed:

x + 7 = (3/2)x

(3/2)x - x = 7

x = 14 years

By substitution:

x + 7 = 14 + 7 = 21 years

Thus, Ted is 14 years old, and Ed is 21 years old option (B) is correct, if Ted, Ed's age is also 3/2 times Ted's age.

Learn more about the linear equation here:

brainly.com/question/11897796

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I hope this helps you



Ed➡3/2.Ted


Ed➡Ted+7


3/2.Ted=Ted+7


3.Ted=2.Ted=14


Ted=14


Ed=14+7=21