SOLUTION: The sum of 2 consecutive even intergers is 86. Find the larger number?

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Question 227273: The sum of 2 consecutive even intergers is 86. Find the larger number?
Found 2 solutions by rfer, drj:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
x+2+x=86
2x=84
x=42
x+2=44

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of 2 consecutive even integers is 86. Find the larger number?

Step 1. Let n be the small even integer.

Step 2. Let n+2 be the larger even integer.

Step 3. Then, n+n+2=86 since the sum of the even integers is 86.

Step 4. Solving, yields the following steps.

2n%2B2=86

Subtract 2 from both sides of the equation

2n%2B2-2=86-2

2n=84

Divide by 2 to both sides of the equation

2n%2F2=84%2F2

n=42 and n%2B2=44. Note the sum is 86.

Step 5. ANSWER: The numbers are 42 and 44.

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J