SOLUTION: The sum of three times the least of three consecutive integers and the greatest is 46. What are the three integers

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Question 218499: The sum of three times the least of three consecutive integers and the greatest is 46. What are the three integers
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of three times the least of three consecutive integers and the greatest is 46. What are the three integers?

Step 1. Let n be an integer and 3n be three times the least of 3 consecutive integers

Step 2. Let n+1 and n+2 be the next two consecutive integer.

Step 3. Let 3n+n+2=46 since the sum of three times the least of three consecutive integers and the greatest is 46.

Step 4. Solving yields the following steps:

4n%2B2=46

Subtract 2 from both sides of the equation

4n%2B2-2=46-2

4n=44

Divide 4 to both sides of the equation

4n%2F4=44%2F4

n=11 n%2B1=12%7D%7D+and+%7B%7B%7Bn%2B2=13

Check 2n+n+2=46...3*11+13=46...which is a true statement.

Step 5. The integers are 11, 12, and 13.

I hope the above steps were helpful.

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And good luck in your studies!

Respectfully,
Dr J