Answer :
To solve the problem of finding the equation for the sum of two consecutive odd numbers that equals 124, we'll break down the process:
1. Understand Consecutive Odd Numbers: Consecutive odd numbers follow a specific pattern. If we express the first odd number as [tex]\(2x + 1\)[/tex], then the next consecutive odd number would be [tex]\(2x + 3\)[/tex]. This is because adding 2 to any odd number results in the next odd number.
2. Set Up the Equation: We know that the sum of these two consecutive odd numbers is 124. So, we can write:
[tex]\[
(2x + 1) + (2x + 3) = 124
\][/tex]
3. Choose the Correct Equation: Among the provided options, the equation that matches the pattern of adding two consecutive odd numbers to equal 124 is:
[tex]\[
(2x + 1) + (2x + 3) = 124
\][/tex]
Therefore, the correct choice is option c. (2x+1) + (2x+3) = 124. This equation accurately represents the relationship described in the problem for the sum of two consecutive odd numbers being 124.
1. Understand Consecutive Odd Numbers: Consecutive odd numbers follow a specific pattern. If we express the first odd number as [tex]\(2x + 1\)[/tex], then the next consecutive odd number would be [tex]\(2x + 3\)[/tex]. This is because adding 2 to any odd number results in the next odd number.
2. Set Up the Equation: We know that the sum of these two consecutive odd numbers is 124. So, we can write:
[tex]\[
(2x + 1) + (2x + 3) = 124
\][/tex]
3. Choose the Correct Equation: Among the provided options, the equation that matches the pattern of adding two consecutive odd numbers to equal 124 is:
[tex]\[
(2x + 1) + (2x + 3) = 124
\][/tex]
Therefore, the correct choice is option c. (2x+1) + (2x+3) = 124. This equation accurately represents the relationship described in the problem for the sum of two consecutive odd numbers being 124.
