Age Relationships and Equations

The video tutorial addresses an age-related word problem involving Arman and Dia. It guides viewers through setting up and solving an algebraic equation to determine how many years it will take for Arman to be three times older than Dia. The process includes defining variables, forming an equation, solving it, and verifying the solution.

Who are the two individuals involved in the age word problem?

• Arman and Dia

• Arman and John

• Arman and Mike

• Dia and John

What are the current ages of Arman and Dia?

• 16 and 3

• 18 and 2

• 20 and 4

• 19 and 1

In which time frame are we trying to find out when Arman will be three times older than Dia?

• None of the above

• Future

• Present

• Past

What variable is used to represent the number of years in the equation?

• z

• y

• x

• t

What is the equation set up to find when Arman will be three times older than Dia?

• 18 + 3y = 2 + y

• 18 + y = 2 + 3y

• 18 + y = 3(2 + y)

• 18 + 2y = 3(2 + y)

What is the first step in solving the equation 18 + y = 3(2 + y)?

• Divide both sides by 3

• Add y to both sides

• Subtract y from both sides

• Distribute 3 on the right side

What is the value of y after solving the equation?

• 7

• 6

• 5

• 4

How many years will it take for Arman to be three times older than Dia?

• 7 years

• 4 years

• 6 years

• 5 years

What will be Arman's age after 6 years?

• 28

• 26

• 24

• 22

What will be Dia's age after 6 years?

• 9

• 8

• 7

• 6