High School

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, we need to find the first number in a pair of consecutive numbers whose sum is 157.

The equation given for the situation is [tex]\( 2n + 1 = 157 \)[/tex], where [tex]\( n \)[/tex] represents the first number. Here's how to solve it step-by-step:

1. Set up the equation:
[tex]\[
2n + 1 = 157
\][/tex]

2. Subtract 1 from both sides to isolate the term with [tex]\( n \)[/tex]:
[tex]\[
2n = 157 - 1
\][/tex]

3. Simplify the right side:
[tex]\[
2n = 156
\][/tex]

4. Divide both sides by 2 to solve for [tex]\( n \)[/tex]:
[tex]\[
n = \frac{156}{2}
\][/tex]

5. Calculate the value of [tex]\( n \)[/tex]:
[tex]\[
n = 78
\][/tex]

Thus, the first number is 78, which corresponds to option B.

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