SOLUTION: find three consecutive intergers such that the sum of three times the middle integer and five times the smaller integer is the same as seven times the larger integer

Question 284674: find three consecutive intergers such that the sum of three times the middle integer and five times the smaller integer is the same as seven times the larger integer
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let the integers be x , x+1, x+2
3times the middle = 3(x+1)
5times the smaller =5x
7 times the largest = 7(x+2)
3(x+1)+5x=7(x+2)
3x+3+5x=7x+14
8x+3=7x+14
8x-7x=14-3
x=11
the numbers are 11 , 12, 13
RELATED QUESTIONS
find two consecutive intergers such that the sum of five times the smaller and three... (answered by fcabanski,ReadingBoosters)

find three consecutive integers such that three times the middle integer is equal to the... (answered by ReadingBoosters)

find three consecutive odd integer such that 3 times the middle integer is 7 more than... (answered by josmiceli)

Find three consecutive even intergers such as the sum of the larger and twice the smaller (answered by CubeyThePenguin)

Find three consecutive odd integers such that five times the middle integer equals 33... (answered by ewatrrr)

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

three consecutive integers such that five times the middle integer is twelve more than... (answered by stanbon)

find three consecutive odd integer, such that three times the first integer plus five... (answered by mananth)

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