SOLUTION: find all sets of four consecutive integers whose sum is between 22 and 30

Question 253333: find all sets of four consecutive integers whose sum is between 22 and 30
Answer by hokies(65) (Show Source): You can put this solution on YOUR website!
Let x be the first integer in the set of 4 integers
22 < x+(x+1)+(x+2)+(x+3) < 30
22 < 4x + 6 < 30
16 < 4x < 24
4 < x < 6
*assume the question includes sums equal to 22 or 30*
So the first integer is 4, 5, or 6
4,5,6,7 OR 5,6,7,8 OR 6,7,8,9
RELATED QUESTIONS
find all sets of four consecutive integers whose sum is between 16 and... (answered by richwmiller,Edwin McCravy)

find all sets of four consecutive odd integers whose sum is between 46 and... (answered by Edwin McCravy)

Find all sets of four consecutive even integers whose sum is between 595 and... (answered by greenestamps)

Find all sets of four consecutive odd integers whose sum is between 170 and... (answered by CubeyThePenguin)

Find all sets of three consecutive odd integers whose sum is between 20 and... (answered by ConfusedGal)

Find all sets of three consecutive odd integers whose sum is between 20 and... (answered by Edwin McCravy)

please find all sets of three. odd consecutive integers whose sum is between 20 and... (answered by stanbon)

How can I find all sets of three consecutive integers whose sum is between 30 and... (answered by richard1234)

Find all the sets of three consecutive even integers whose sum is between 25 and... (answered by bam878s)