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Verified Answer :

Let the two integers be x and x + 1, then
x + x + 1 = 113
2x + 1 = 113

Answer:

Option 2nd is correct

\(2x+1 = 113\)

Step-by-step explanation:

Let two consecutive integers are x and x+1

As per the statement:

The sum of two consecutive integers is 113

⇒\(x+(x+1) = 113\)    

⇒x+x+1=113                              ....[1]

Like terms are those which have same variable to the same power.

Combine like terms in [1] we have;

\(2x+1 = 113\)

Therefore, the following equations could be used to solve the problem is, \(2x+1 = 113\)