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solmaris [256]
3 years ago
15

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

Mathematics
2 answers:
lesya692 [45]3 years ago
7 0

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;

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

gizmo_the_mogwai [7]3 years ago
5 0
n+n+1=37\\
2n=36\\
\boxed{n=18}\\
\boxed{n+1=19}
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