SOLUTION: The sum of two consecutive integers is 37. Find the number.

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Question 227706: The sum of two consecutive integers is 37. Find the number.
Found 2 solutions by rfer, drj:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
x+x+1=37
2x=36
x=18
x+1=19

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two consecutive integers is 37. Find the number.

Step 1. Let n be the first integer.

Step 2. Let n%2B1 be the next consecutive integer

Step 3. Then n%2Bn%2B1=37 since the their sum is 37.

Step 4. Solving the equation in Step 3 yields the following steps

2n%2B1=37

Subtract 1 from both sides of the equation

2n%2B1-1=37-1

2n=36

Divide by 2 to both sides of the equation

2n%2F2=36%2F2

n=18 and n%2B1=19 and note their sum is 37 as a check.

Step 5. ANSWER: The two consecutive integers are 18 and 19.

I hope the above steps were helpful.

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And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV