SOLUTION: eight times the sum of three consecutive odd integers is 210 more than 10 times the middle integer. Find the integers? the answer is 13, 15, 17

Question 269684: eight times the sum of three consecutive odd integers is 210 more than 10 times the middle integer. Find the integers?
the answer is 13, 15, 17
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
eight times the sum of three consecutive odd integers is 210 more than 10 times the middle integer. Find the integers?

Let the numbers be x, x+2, x+4
8 times the sum of the consecutive odd numbers = 8(x+x+2+x+4)
10(x+2) +210
8(x+x+2+x+4) = 10(x+2) +210
24x+48=10x+20 +210
14x=230-48
14x=182
x=13
x+2=15
x+4=17
The numbers are 13,15,17

RELATED QUESTIONS
Eight times the sum of three consecutive odd integers is 210 more than ten times the... (answered by richwmiller)

Seven times the sum of three consecutive odd integers is 350 more than seven times the... (answered by Alan3354,josgarithmetic)

Find three consecutive odd integers such tha three times the middle integer is 11 more... (answered by rothauserc,greenestamps)

Find three consecutive odd integers such that three times the middle integer is seven... (answered by CubeyThePenguin)

find three consecutive odd integers such that three times the middle integer is one more... (answered by mananth)

Find the largest of three consecutive odd integers, such that 3 times the middle integer... (answered by KMST)

Find the largest of three consecutive odd integers, such that 3 times the middle integer... (answered by Alan3354)

Find three consecutive odd integers such that four times the middle integer is two more... (answered by CubeyThePenguin)

What are three consecutive odd integers so that five times the middle integer is nine... (answered by rwm)