The larger of two numbers is 17 more than twice the smaller. When the larger number is divided by the smaller, the quotient is 3 and the remainder is 6. Find the two numbers

The numbers described here are 39 and 11.

Step-by-step explanation:

Let's call the numbers a and b, a being the larger. We're told two things:

The larger of the two numbers is 17 more than twice the smaller.

Which we can express as:

a = 2b + 17

When the larger number is divided by the smaller, the quotient is 3 and the remainder is 6

And that can be expressed as:

a = 3b + 6

We can now take those two expressions and, noting that they both define a, we can say that they are equivalent, and solve for b:

2b + 17 = 3b + 6

3b - 2b = 17 - 6

b = 11

With b found, we can now take either of the first expressions, and solve for a:

a = 2b + 17

a = 2(11) + 17

a = 22 + 17

a = 39

Now we can check whether that is correct by plugging it into the other expression and seeing if b still comes to 11:

a = 3b + 6

39 = 3b + 6

3b = 33

b = 11

So we know that the answer is correct.

the answer is somewhere there guys it really . there im just not gonna answer

step-by-step explanation:

but i'm guessing ur first option tho

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00