SOLUTION: Find the three consecutive integers such that the sum of the first and second is 9 more than half of the third

Question 221309: Find the three consecutive integers such that the sum of the first and second is 9 more than half of the third
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Find the three consecutive integers such that the sum of the first and second is 9 more than half of the third

Step 1. Let n be the first integer.

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

Step 3. Let n+n+1=2n+1 be the sum of the first and second integers.

Step 4. Let since 9 more than half of the third integer.

Step 5. Then since the sum of the first and second is 9 more than half of the third

Step 6. Solving yields the following steps

Multiply 2 to both sides of the equation

Subtract n+2 from both sides of the equation

Divide 3 to both sides of the equation

and

Check in Step 5 2*6+1=8/2+9 or 12+1=4+9 which is a true statement.

Step 7. ANSWER: The three consecutive and even integers are 6, 7 and 8.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

RELATED QUESTIONS
Find three consecutive integers such that the sum of the first and second is 9 more than... (answered by ewatrrr)

Find the three consecutive even integers such that the sum of the first number and half... (answered by Fombitz)

Find three consecutive integers such that the sum of the first and half the third is 16... (answered by TimothyLamb)

find three consecutive integers such that the sum of the first and second is 7 more than (answered by ewatrrr)

Find three consecutive odd integers such that the sum of the first and second is 5 more... (answered by f_alsafi)

Find three consecutive integers such that the sum of the first and second is more than... (answered by Alan3354)

find three consecutive positive odd integers such that the square of the first is 9 more... (answered by ankor@dixie-net.com)

find three consecutive even integers such that three times the first integer is eight... (answered by lwsshak3)

Find three consecutive even integers such that three times the second integer is six more (answered by josmiceli)