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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

Sagot :

GinnyAnswer
Let's solve the given equation step by step:

The equation representing the situation is:
[tex]\[ 2n + 1 = 157 \][/tex]

### Step 1: Isolate [tex]\( n \)[/tex]

First, subtract 1 from both sides of the equation to isolate the term involving [tex]\( n \)[/tex]:
[tex]\[ 2n + 1 - 1 = 157 - 1 \][/tex]
[tex]\[ 2n = 156 \][/tex]

### Step 2: Solve for [tex]\( n \)[/tex]

Next, divide both sides of the equation 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].

### Conclusion

The correct answer is:
[tex]\[ \text{B. } 78 \][/tex]
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