Question

Find two consecutive integers with a sum of 39. Which equation would give you the answer?

A. x + (x - 1) = 39
B. x + (x + 1) = 39
C. 2x = 39
D. x^2 + (x + 1)^2 = 39

Answer 1

The two consecutive integers with a sum of 39 are found by solving the equation x + (x + 1) = 39, leading to integers 19 and 20.

Step-by-step explanation:

To find two consecutive integers with a sum of 39, we need to set up an equation that represents this condition. Let the first integer be x. Since the integers are consecutive, the next integer will be x + 1. Adding these two integers together to equal 39 will give us the equation:

x + (x + 1) = 39

This corresponds to option B in the question. To solve this equation, combine like terms and solve for x:

• 2x + 1 = 39
• 2x = 38
• x = 19

Therefore, the integers are 19 and 20.