Father and Son Age Relationships

The video tutorial explains how to solve an age-related algebra problem involving a father and son. The problem states that the father is currently three times the age of the son, and in 12 years, the father will be twice the son's age. The tutorial guides viewers through translating the problem into algebraic expressions, defining variables, formulating equations, and solving them to find the current ages of the father and son.

What is the initial relationship between the father's and son's ages?

• The father is five times as old as the son.

• The father is four times as old as the son.

• The father is three times as old as the son.

• The father is twice as old as the son.

What pronumeral is used to represent the son's age?

• F

• X

• S

• A

How many years into the future does the problem consider?

• 10 years

• 15 years

• 20 years

• 12 years

What is the equation for the father's age in terms of the son's age now?

• F = 2S + 12

• F = S + 12

• F = 3S

• F = 2S

What is the equation for the father's age in 12 years?

• F + 12 = 2(S + 12)

• F + 12 = S + 24

• F + 12 = 2S + 24

• F + 12 = 3(S + 12)

What is the son's age now according to the solution?

• 12 years

• 14 years

• 16 years

• 10 years

What is the father's age now according to the solution?

• 24 years

• 48 years

• 30 years

• 36 years

How old will the son be in 12 years?

• 22 years

• 28 years

• 24 years

• 26 years

How old will the father be in 12 years?

• 50 years

• 48 years

• 60 years

• 72 years

Does the solution satisfy the condition that the father's age will be twice the son's age in 12 years?

• Yes, it does.

• No, it does not.

• Only if the father's age is adjusted.

• Only if the son's age is adjusted.