n + n + 1 = 37 2 n = 36 n = 18 n + 1 = 19
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;
2 x + 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 ;
The two consecutive integers that sum to 37 are 18 and 19. The equation modeling this situation is x + ( x + 1 ) = 37 .
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