toridivavh
Answered

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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
To solve the equation and determine the first number [tex]\( n \)[/tex]:

1. Start with the given equation:
[tex]\[ 2n + 1 = 157 \][/tex]

2. Isolate the term with [tex]\( n \)[/tex] by subtracting 1 from both sides of the equation:
[tex]\[ 2n + 1 - 1 = 157 - 1 \][/tex]
Simplifying this, we have:
[tex]\[ 2n = 156 \][/tex]

3. Solve for [tex]\( n \)[/tex] by dividing both sides of the equation by 2:
[tex]\[ n = \frac{156}{2} \][/tex]
Simplifying this division:
[tex]\[ n = 78 \][/tex]

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

So, the correct answer is:
B. 78
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