Question

What is the sum of two consecutive positive integers even integers is at mos t 15. What are the possible pairs of integers?

Answer 1

Answer:

The sum of two consecutive positive even integers is at most 15. What are the possible pairs of integers.

consecutive positive even integers...so first one would be 2x, we mulitply x by two in order to make sure it's even (divisible by 2). Then the next even integer would be 2x+2. Now add them and make has to be less than or equal to 15.

2x%2B2x%2B3%3C=15

4x%2B3%3C=15 subtract 3 from each side

4x%3C=12 divide each side by 4

x%3C=3 so if x is less than or equal to 3 than x could be 1 or 2 or 3. In which case our first combination would be 2x and 2x+2 so 2*1 and 2*1+2. Then plug in x=2 and x=3. So the possible pairs of integers are

1) 2 and 4

2) 4 and 6

3) 6 and 8