College

Select the correct answer.

The sum of two consecutive numbers is 157. This equation, where [tex]n[/tex] is the first number, represents the situation:

[tex]2n + 1 = 157[/tex]

What is the first number?

A. 77
B. 78
C. 79
D. 80

Answer :

To solve the problem of finding the first number, we can follow these steps:

1. We start with the given equation, which represents the situation: [tex]\(2n + 1 = 157\)[/tex].

2. To solve for [tex]\(n\)[/tex], first subtract 1 from both sides of the equation:
[tex]\[
2n + 1 - 1 = 157 - 1
\][/tex]
This simplifies to:
[tex]\[
2n = 156
\][/tex]

3. Next, divide both sides of the equation by 2 to isolate [tex]\(n\)[/tex]:
[tex]\[
n = \frac{156}{2}
\][/tex]

4. When you divide 156 by 2, you get:
[tex]\[
n = 78
\][/tex]

Therefore, the first number is 78. The correct answer is B. 78.

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