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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

Sure! Let's solve the problem step-by-step.

We are given that the sum of two consecutive numbers is 157. We can represent the first number as [tex]\( n \)[/tex]. The next consecutive number is [tex]\( n + 1 \)[/tex]. Together, their sum can be written as:

[tex]\[ n + (n + 1) = 157 \][/tex]

Simplifying the equation, we get:

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

Now, let's solve for [tex]\( n \)[/tex]:

1. Subtract 1 from both sides of the equation:

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

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

2. Divide both sides by 2 to find [tex]\( n \)[/tex]:

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

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

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

B. 78