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Answer :
To solve the problem of finding two consecutive odd numbers whose sum is 124, we need to set up an equation.
1. Define the consecutive odd numbers:
Let’s represent the first odd number as [tex]\(2x + 1\)[/tex]. Consecutive odd numbers differ by 2, so the next odd number would be [tex]\(2x + 3\)[/tex].
2. Set up the equation:
The problem states that the sum of these two consecutive odd numbers is 124. Therefore, we can write the equation as:
[tex]\[
(2x + 1) + (2x + 3) = 124
\][/tex]
3. Select the correct choice from the given options:
The equation we formed matches choice c: [tex]\((2x + 1) + (2x + 3) = 124\)[/tex].
So, the equation to use for solving this problem is [tex]\((2x + 1) + (2x + 3) = 124\)[/tex], and the correct choice is c.
1. Define the consecutive odd numbers:
Let’s represent the first odd number as [tex]\(2x + 1\)[/tex]. Consecutive odd numbers differ by 2, so the next odd number would be [tex]\(2x + 3\)[/tex].
2. Set up the equation:
The problem states that the sum of these two consecutive odd numbers is 124. Therefore, we can write the equation as:
[tex]\[
(2x + 1) + (2x + 3) = 124
\][/tex]
3. Select the correct choice from the given options:
The equation we formed matches choice c: [tex]\((2x + 1) + (2x + 3) = 124\)[/tex].
So, the equation to use for solving this problem is [tex]\((2x + 1) + (2x + 3) = 124\)[/tex], and the correct choice is c.
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