Two numbers have a sum of 26. One number is 6 more than the other. Find the numbers.

Question

Two numbers have a sum of 26. One number is 6 more than the other. Find the numbers.

Answer 1

Hello Evangelina,

First, let's assign some expressions to represent these two numbers for the problem, fair enough?

Let the first number be equal to x

Let the second number be equal to x + 6

Second, according to your problem, the sum of these two expressions will be equal to 26, therefore we now have the following equation:

x + x + 6 = 26 <----Combine like terms, right?

2x + 6 = 26 <----Subtract 6 from both sides of the equation.

2x = 20 <--- Divide both sides of the equation by 2 leaving x to itself.

x = 10

x = 10 <-----The first number

x + 6 = 16 <------The second number

Now, let's check our work, okay? We do this by substituting 10 for the value of x in the original equation, okay?

x + x + 6 = 26

10 + 10 + 6 = 26

26 = 26

Yes, the solution checks out and is therefore valid. I sure hope I have assisted you with this solution and wish you a great end to your week. If you have any questions, wish to offer feedback, or need to schedule one on one tutoring for this subject feel free to click the "add comment' feature and leave your comment beneath this solution. Best!