Answer :
To solve the problem of finding the sum of two consecutive odd numbers that equals 124, we first need to understand what consecutive odd numbers are. Consecutive odd numbers are odd numbers that follow each other in the sequence, like 3 and 5, or 7 and 9.
Let's represent the first odd number as [tex]\(2x + 1\)[/tex]. This expression ensures the number is odd because any multiple of 2 is even, and adding 1 makes it odd.
The next consecutive odd number would be just 2 more than the first odd number. Therefore, the next number is [tex]\(2x + 3\)[/tex].
The problem states that the sum of these two numbers is 124. Therefore, we can write the equation:
[tex]\[
(2x + 1) + (2x + 3) = 124
\][/tex]
This equation brings together both expressions for the consecutive odd numbers as their sum. This is the equation we would use to solve the problem.
Therefore, out of the options provided, the correct choice is:
c. [tex]\((2x + 1) + (2x + 3) = 124\)[/tex]
Let's represent the first odd number as [tex]\(2x + 1\)[/tex]. This expression ensures the number is odd because any multiple of 2 is even, and adding 1 makes it odd.
The next consecutive odd number would be just 2 more than the first odd number. Therefore, the next number is [tex]\(2x + 3\)[/tex].
The problem states that the sum of these two numbers is 124. Therefore, we can write the equation:
[tex]\[
(2x + 1) + (2x + 3) = 124
\][/tex]
This equation brings together both expressions for the consecutive odd numbers as their sum. This is the equation we would use to solve the problem.
Therefore, out of the options provided, the correct choice is:
c. [tex]\((2x + 1) + (2x + 3) = 124\)[/tex]
