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Answer :
We are given that the sum of two consecutive numbers is 157 and that this situation can be modeled by the equation
[tex]$$2n + 1 = 157,$$[/tex]
where [tex]$n$[/tex] is the first number.
Step 1: Subtract 1 from both sides
Subtract [tex]$1$[/tex] to isolate the term with [tex]$n$[/tex]:
[tex]$$2n = 157 - 1 = 156.$$[/tex]
Step 2: Divide by 2
Now, divide both sides by [tex]$2$[/tex] to solve for [tex]$n$[/tex]:
[tex]$$n = \frac{156}{2} = 78.$$[/tex]
Thus, the first number is [tex]$78$[/tex].
The correct answer is B. 78.
[tex]$$2n + 1 = 157,$$[/tex]
where [tex]$n$[/tex] is the first number.
Step 1: Subtract 1 from both sides
Subtract [tex]$1$[/tex] to isolate the term with [tex]$n$[/tex]:
[tex]$$2n = 157 - 1 = 156.$$[/tex]
Step 2: Divide by 2
Now, divide both sides by [tex]$2$[/tex] to solve for [tex]$n$[/tex]:
[tex]$$n = \frac{156}{2} = 78.$$[/tex]
Thus, the first number is [tex]$78$[/tex].
The correct answer is B. 78.
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