SOLUTION: Find three consecutive integers such that three times the largest increased by two is equal to five times the smallest increased by three times the middle integer.

SOLUTION: Find three consecutive integers such that three times the largest increased by two is equal to five times the smallest increased by three times the middle integer.

Algebra.Com

Question 997903: Find three consecutive integers such that three times the largest increased by two is equal to five times the smallest increased by three times the middle integer.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let n (n+1) & (n+2) be the numbers
3(n+2) +2 = 5(n) +3(n+1)

3n+6 +2 = 5n+3n+3
3n+8 =8n+3
5n =5
n =1
1,2,3 are the numbers
RELATED QUESTIONS
Three consecutive integers such that three times the largest increased by two fis equal... (answered by josgarithmetic)

find three consecutive integers such that the square of the smallest increased by four... (answered by Theo)

Find three consecutive even integers such that twice the largest is equal to two more... (answered by namra)

Find three consecutive even integers such that five times the smallest is four times the... (answered by CubeyThePenguin)

Find three consecutive integers such that three times the smallest integer, increased by... (answered by DrBeeee)

find three consecutive integers such that twice the smallest plus three times the middle... (answered by Boreal,stanbon)

Find 4 consecutive even integers such that four less than twice the samllest is equal to... (answered by ankor@dixie-net.com)

Find Three consecutive integers such that 6 less than 5 times the smallest integer is... (answered by mananth)

set up an equation and solve. find three even consecutive integers such that twice the (answered by rothauserc)