SOLUTION: the sum of three consecutive odd integers is 89 more than twice the largest integer.find the integer

Question 269923: the sum of three consecutive odd integers is 89 more than twice the largest integer.find the integer
Found 2 solutions by unlockmath, dabanfield:
Answer by unlockmath(1688) (Show Source): You can put this solution on YOUR website!
Hello,
Let's first show x being the first odd integer. x+2 and x+4 the next ones. The equation will look like this:
x+(x+2)+(x+4)=2(x+4)+89 OK tracking so far? Now combine like terms:
3x+6=2x+97 Now subtract 6 from both sides and subtract 2x from both sides to get:
x=91
There we go. 91 in the first odd integer. Plug this into the original to see if it works.
There's a book that might help you out:
www.math-unlock.com
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
the sum of three consecutive odd integers is 89 more than twice the largest integer.find the integer
Let x be the smallest of the three integers. The second and third consecutive odd integers would then be x+2 and x+4.
So we have:
x + (x+2) + (x+4) = 2*(x+4)
Solve the above for x and then calculate x+2 and x+4.
RELATED QUESTIONS
Find two consecutive odd integers if three times the smallest integer is 7 more than... (answered by CubeyThePenguin)
The sum of three odd integers is 16 more than the largest integer. Find the integers. (answered by JulietG)
Find three consecutive even integers such that the sum of the smallest integer and twice... (answered by josgarithmetic)
Find three consecutive odd integers such that their sum is five more than four times the... (answered by josgarithmetic)
The sum of three consecutive integers is five less than twice the largest integer. What... (answered by Boreal)
one third of the sum of three consecutive odd integers is 91. find the largest... (answered by CubeyThePenguin)
Find the largest of three consecutive odd integers such that the sum of the first two... (answered by checkley77)
Find the largest of three consecutive odd integers such that the sum of the first two... (answered by LtAurora)
Find the largest of three consecutive odd integers such that the sum of the first two... (answered by solver91311)