Question

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

Answer 1

Answer:

The given expression "The sum of two consecutive odd integers equals 12." is written as 2x + 1 + 2x + 3 = 12  and numbers are 5 and 7

Step-by-step explanation:

 Given expression : The sum of two consecutive odd integers equals 12.

We have to write the given expression mathematically and solve.

Consider the given expression "The sum of two consecutive odd integers equals 12."

Consecutive odd integers are the odd integers having difference of two in between like 3, 5, 7 etc,

we know odd numbers are of the form of (2m+1)

Thus, let two consecutive odd integers be 2x+1 and 2x+3

Then given sum of  two consecutive odd integers  is 12

mathematically written as,

2x + 1 + 2x + 3 = 12

4x+ 4 = 12

x + 1 = 3

x = 2

Thus, consecutive odd integers are 2(2)+1 = 5

and 2(2) + 3 = 7

Thus, the given expression "The sum of two consecutive odd integers equals 12." is written as 2x + 1 + 2x + 3 = 12  and numbers are 5 and 7

Answer 2

X+Y= 12. Consecutive means in order, so in this case two odd numbers back to back. 5 and 7 are the two consecutive odd integers equal 12.