SOLUTION: The question asks the sum of three consecutive even intergers is 30 more than the largest. What will be the intergers? The domain for the smallest intergers: {14, 18, 20} Can you h
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Question 217282: The question asks the sum of three consecutive even intergers is 30 more than the largest. What will be the intergers? The domain for the smallest intergers: {14, 18, 20} Can you help me? Is there a 5 step plan I can use? Answer by drj(1380) (Show Source):
You can put this solution on YOUR website! The question asks the sum of three consecutive even integers is 30 more than the largest. What will be the integers? The domain for the smallest integers: {14, 18, 20} Can you help me? Is there a 5 step plan I can use?
Step 1. Let n be one even integer.
Step 2. Let n+2 and n+4 be the next two consecutive integers where n+4 be the largest integer.
Step 3. Let n+n+2+n+4= 3n+6 be the sum of the even integer.
Step 4. Then 3n+6=n+4+30 since the sum of three consecutive even integers is 30 more than the largest
Step 5. The following will solve the equation in Step 4.
Add -6-n to both side of the equation to get n-terms only on the left side and numbers only on the right.
Divide by 2 to both sides of the equation
and and
Check equation in Steps 3 and 4 if true...then 14+16+18=18+30...which is a true statement.
Step 6. ANSWER: The three consecutive and even integers are 14, 16, and 18.
I hope the above steps were helpful.
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