Ex 1 age word problem | Linear equations | Algebra I | Khan Academy

TL;DR

It takes six years for Arman to be three times as old as Diya.

Transcript

Let's say that Arman today is 18 years old. And let's say that Diya today is 2 years old. And what I am curious about in this video is how many years will it take-- and let me write this down-- how many years will it take for Arman to be three times as old as Diya? So that's the question right there, and I encourage you to try to take a shot at thi... Read More

Key Insights

• 🤕 The age gap calculation between Arman and Diya involves setting up an equation with their future ages.
• 🆘 Distributing the coefficient in the equation helps simplify the equation.
• 👻 Isolating the variable allows for solving the equation and finding the number of years.
• 🤕 Verifying the result by evaluating Arman and Diya's ages in six years confirms the solution.

Questions & Answers

Q: How does Arman's age change in y years?

Arman's age will be 18 + y in y years.

Q: How does Diya's age change in y years?

Diya's age will be 2 + y in y years.

Q: What equation can be set up to find the number of years it takes for Arman to be three times as old as Diya?

The equation is 18 + y = 3(2 + y).

Q: How can the equation be solved?

By simplifying the equation and solving for y, it is determined that y = 6, meaning it takes six years.

Summary & Key Takeaways

• Arman is currently 18 years old and Diya is 2 years old.

• The question is how many years it will take for Arman to be three times as old as Diya.

• By setting up an equation and solving for the number of years (y), it is determined that it will take six years.