SOLUTION: One-sixth of the smallest of three consecutive even integers is three less than one-tenth the sum of the other even integers. Find the integers. 1/6x +3 = 1/10 (x+2)+(x+4) 1/6x

Question 214750: One-sixth of the smallest of three consecutive even integers is three less than one-tenth the sum of the other even integers. Find the integers.
1/6x +3 = 1/10 (x+2)+(x+4)
1/6x +3 = 1/10 (2x+6)
1/6x +3 -3 = 1/10 (2x+3)
here is where I lose it, do not understand what to do with the fractions.
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
One-sixth of the smallest of three consecutive even integers is three less than one-tenth the sum of the other even integers. Find the integers.

Step 1. Let x be an even integer, x+2 and x+4 be the next two consecutive integers.

Step 2. x+2+x+4 is the sum of the two even integers or 2x+6
Step 3. (2x+6)/10 is one-tenth of the sum of the other even integers.

Step 4. x/6 is one-sixth of the smallest even itneger

Step 5. as given by the problem statement.

Step 6 Multiply 60 to both sides of the equation to get rid of the fractions.

Add 144-10x to both sides

Step 7. The numbers are 72, 74 and 76.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J

RELATED QUESTIONS
one sixth of the smallest of three consecutive even integers is three less than than one... (answered by tommyt3rd)

one sixth of the smallest of three consecutive even integers is three less than one tenth (answered by CubeyThePenguin)

One sixth of the smallest of three consecutive even integers is three less than 1 tenth... (answered by CubeyThePenguin)

The sum of the two smallest of the five consecutive even integers is 50 less than the sum (answered by stanbon)

One - fourth the middle integer of three consecutive even integers is 24 less than one... (answered by mananth)

The sum of three consecutive EVEN integers is -36. Find the smallest of the even... (answered by Edwin McCravy)

Three times the smallest of three Consecutive even integers is 130 more than the sum of... (answered by josgarithmetic)

The sum of three consecutive even integers is 48 less than twice the smallest of the... (answered by Fombitz)

The sum of three consecutive even integers is 48 less than twice the smallest of the... (answered by stanbon,MathTherapy)