Ages and Equations Problem Set

The video tutorial explores a mathematical problem involving two individuals, Arman and Diya, and their ages. The goal is to determine how many years it will take for Arman to be three times as old as Diya. The instructor sets up an equation using a variable to represent the unknown number of years and solves it step-by-step. The solution is verified by checking the ages of Arman and Diya after the calculated number of years, confirming that Arman is indeed three times as old as Diya.

What is the current age of Arman?

• 16 years

• 18 years

• 20 years

• 22 years

How old is Diya currently?

• 4 years

• 3 years

• 2 years

• 1 year

What variable is used to represent the number of years it will take for Arman to be three times as old as Diya?

• x

• z

• t

• y

What is the equation set up to find the number of years it will take for Arman to be three times as old as Diya?

• 18 + y = 2 + y

• 18 = 3(2 + y)

• 18 + y = 3y

• 18 + y = 3(2 + y)

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

• Multiply both sides by 3

• Distribute the 3 on the right side

• Subtract 2 from both sides

• Add y to both sides

After distributing the 3, what does the equation become?

• 18 + y = 3y

• 18 = 6 + 3y

• 18 + y = 6y

• 18 + y = 6 + 3y

What is the value of y after solving the equation?

• 5

• 6

• 4

• 7

In 6 years, how old will Arman be?

• 22 years

• 24 years

• 26 years

• 28 years

In 6 years, how old will Diya be?

• 6 years

• 7 years

• 8 years

• 9 years

In 6 years, will Arman be three times as old as Diya?

• No

• Yes

• Not enough information

• Only if Diya ages faster