Question

Solve the following. Once you simplify the equation, you will write it on the line. Then list the integers you found as the answers in order from

least to greatest
The sum of two consecutive integers is 53. What are the two integers?
Equation:
Integers:

Answer 1

Answer:

Equation: 2x+1 = 53 (x is 26)

Integers: 26, 27

Explanation:

53 is the sum of 2 consecutive integers. That means one of the integers is one larger than the other. This means that twice one integer plus one equals 53, so the equation becomes x + (x + 1) = 53.

x + (x+1) = 53

Combine x and x to get 2x.

2x + 1 = 53

Subtract 1 from both sides to cancel the +1.

2x = 52

Divide both sides by 2 to undo the multiplication by 2.

x = 26

With this we know the first integer is 26. The second is one more than that, so that's 27. So the two integers here are 26 and 27.