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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

Sagot :

GinnyAnswer
Alright, let's solve the given problem step-by-step.

We are given the equation:
[tex]\[ 2n + 1 = 157 \][/tex]

where [tex]\( n \)[/tex] is the first number.

Step 1: Subtract 1 from both sides of the equation to isolate the term with [tex]\( n \)[/tex]:
[tex]\[ 2n + 1 - 1 = 157 - 1 \][/tex]
[tex]\[ 2n = 156 \][/tex]

Step 2: Divide both sides by 2 to solve for [tex]\( n \)[/tex]:
[tex]\[ \frac{2n}{2} = \frac{156}{2} \][/tex]
[tex]\[ n = 78 \][/tex]

So, the first number is [tex]\( 78 \)[/tex].

The correct answer is:
B. 78
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