Algebra

Age word problems 3 | Linear equations | Algebra I | Khan Academy

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Welcome to the third part of this series of age tasks. I just want to start where I was in the second part. Then I was confused. You friends make me quite nervous just sitting there and you listen, and I have to entertain you. But it turns out that we actually got the right answer, if we say yes Arman is one hundred and fifty-three years old, and Tarush is seven hundred and sixty-five, then eighty years ago. and in five years Arman would be sixty-eight, and Tarush six hundred and eighty. Note that this is ten times. And finally it came out. We are ready to embark on a new task. Another task. Let’s see. In this task, Zack is said to be four times older than Salman. What a coincidence. Salman is really involved in many tasks. And now Zack is four times older than Salman. Zack is also three years older than Salman. How old is Zack? Well, in fact, this task seems relative understandable. We do not deal with the present and the future. We only deal with the present. So let’s see if we can make something. We’re trying to find Zack’s age. Note with z Zac. z is equal to Zak. Zack is said to be four times older than Salman. So, Salman, if Zack is z, that first sentence, let’s fence it. Zack is four times older than Salman. And, if Zack is four times older than Salman, that means Sal is equal to Zack divided by four. But here it is also said that Zack is also three years older than Salman. So, if Zack is three years older than Salman, this means that Sal will be equal to Zack minus three. The first sentence says that Zack is four times older than Salman. Which means if we take Zack’s age and divide it at four, we get the age of Sal. The second sentence says that Zack is also three years old older than Salman. And that means if we take Zack’s age and subtract three of it, we get Sal’s age again. Well, our equation is ready. And, in fact, instead of writing Zack, just I will write z. But the equation is ready everywhere. We get that z over four is equal to z minus three. We can multiply both sides of this equation by four and we will we get that z is equal to four times z, let’s not forget to put in parentheses, minus twelve. And then we’ll skip two steps. And I get that three z is equal to twelve. As well as the fact that Zack is equal to four years old. Let’s see how true this is. If Zack is four years old, then that first sentence says he is is four times larger than Salman. And that means Sal is one year old. We also have the fact that Zack is three years older than Sal. This is logical. Four is three bigger than one. So we were right. Zack is exactly four years old. I hope I was helpful. Have fun. I think we are ready. At least we’ve already seen each of the species age tasks. If you’re still a little confused, you might want to watch the videos again and probably stop them after I gave you the task, and saw if you could solve it yourself. And remember, you had a lot of practical tasks that you will be able to decide in the modules themselves. Have fun.

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