Question

The sum of two consecutive integers is 37. Write an equation that models this situation and find the values of the two integers.

Answer 1

`n+n+1=37\\ 2n=36\\ \boxed{n=18}\\ \boxed{n+1=19}`

Answer 2

Explanation:

Let two consecutive integers are x and x+1

As per the statement:

The sum of two consecutive integers is 37.

⇒x+x+1 = 37

Combine like terms;

`2x+1` = 37`

Subtract 1 from both sides we have;

2x = 36

Divide both sides by 2 we have;

x = 18

and

x+1 = 18+1 = 19

Therefore, an equation that models this situation
`x+x+1 = 37` and the values of the two integers are 18 and 19