Question

Choose what the expressions below best represent within the context of the word problem.

The sum of two consecutive odd integers equals 12. What are they?
The Smaller or The larger
x represents
integer
x + 2 represents
integer

Answer 1

Answer:Answer:

5 and 7

Explanation:

let 'x' = smaller odd integer

let 'x+2' = larger consecutive odd integer

equation would be:

x + x+2 = 12

combine 'like terms' to get:

2x + 2 = 12

2x = 10

x = 5

the next consective odd integer after 5 is 7, or '5+2'

check: 5 + 7 = 12

Explanation:

Answer 2

5 and 7

Explanation:

let 'x' = smaller odd integer

let 'x+2' = larger consecutive odd integer

equation would be:

x + x+2 = 12

combine 'like terms' to get:

2x + 2 = 12

2x = 10

x = 5

the next consective odd integer after 5 is 7, or '5+2'

check: 5 + 7 = 12