One number is two times the other, and their sum is 27. What are the numbers?

Answer 1

Hi Yaritza! Let's answer this question by creating an appropriate system of equations to represent the world problem. Remember, a system of equations involves creating multiple equations that involve unknown values, represented by variables. You can solve a system of equation using substitution or elimination.

Let x be the first unknown value. Let y be the second unknown value. We want to find x and y.

x = 2y

x + y = 27

Now, substitute x as 2y into the second equation:

x + y = 27 --> 2y + y = 27 --> 3y = 27 --> y = 9

Now that we've solved for y, use either equation to solve for x. Let's use the first one for simplicity.

x = 2y --> x = 2*9 --> x = 18

Hope this helps!

Answer 2

x = 2y x + y = 27 By substitution 2y + y = 27 -> 3y = 27 -> y = 27/3 = 9

Then x = 2(9) = 18

Check: 9 + 18 = 27