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Comparing with multiplication: age

Sal solves a multiplication comparison word problem.   Created by Sal Khan and Monterey Institute for Technology and Education.

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Video transcript

We're told that Jared is twice the age of his brother, Peter. So Jared is twice the age of his brother, Peter. Peter is 4 years old. And Jared is twice the age of his brother, Peter. So Jared is twice Peter's age of 4. And then they tell us, Talia's age is 3 times Jared's age. How old are Talia and Jared? So Talia's age is 3 times Jared's age. So let's write this down. We have Peter is 4 years old. So Peter's age, he's 4 years old. Jared is twice the age of his brother, Peter. Let me do that in yellow. That's not yellow. Jared is twice the age of his brother. Twice is the same thing as 2 times the age of his brother. You could say Jared is twice the age of his brother or Jared is 2 times the age of his brother. Well, his brother is 4. They told us that right over there. So Jared is going to be 2 times 4 years old. And if you know your multiplication tables, you know that's the same thing as 8. 2 times 4 is 8. 4 times 2 is 8. Or you know this is the same thing as Peter's age twice, which is the same thing as 4 plus 4. That would also get you 8. So Jared's age is equal to 8. And then, finally, they say Talia's age-- so let me write Talia right over here. Talia's age and they tell it to us right over here. It's 3 times Jared's age. So Talia's age is 3 times Jared's age. Well, we were able to figure out Jared's age. It is 8. It is 3 times Jared's age. If you know your multiplication tables, this should maybe jump out at you. And your multiplication tables really are one of those things in mathematics that you should really just know back and forth just because it will make the rest of your life very, very, very simple. Or you could view 3 times 8 as literally 8 three times. So it's 8 plus 8 plus 8. 8 plus 8 is 16, 16 plus 8 is 24. So 3 times 8 is 24. So Peter is 4, Jared is 8, and Talia is 24.