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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, is [tex]2n + 1 = 157[/tex].

What is the first number?

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

Answer :

To find the first number in the series of two consecutive numbers that add up to 157, we can set up an equation. Let's call the first number [tex]\( n \)[/tex]. The next consecutive number would be [tex]\( n + 1 \)[/tex].

The equation will be:

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

You can simplify that to:

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

Now, we'll solve for [tex]\( n \)[/tex] step-by-step:

1. Subtract 1 from both sides of the equation:
[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]

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

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