Answer :
Answer:
Step-by-step 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;
[tex]2x+1` = 37[/tex]
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 [tex]x+x+1 = 37[/tex] and the values of the two integers are 18 and 19