Question

Find two consecutive integers whose sum is 113. which of the following equations could be used to solve the problem? 2x = 113 2x 1 = 113 2x 2 = 113 x2 1= 113

Answer 1

Option 2nd is correct

`2x+1 = 113`

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`

Answer 2

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