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------------------------------------------------ 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

To find the first number in the sum of two consecutive numbers that equals 157, we start with the equation given in the problem:

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

Here, [tex]$ n $[/tex] represents the first number, and the next consecutive number is [tex]$ n + 1 $[/tex]. Let's solve the equation step by step:

1. Subtract 1 from both sides:

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

[tex]\[
2n = 156
\][/tex]

2. Divide both sides by 2 to solve for [tex]$ n $[/tex]:

[tex]\[
n = \frac{156}{2}
\][/tex]

[tex]\[
n = 78
\][/tex]

Therefore, the first number is 78. So, the correct answer is:

B. 78