SOLUTION: find three consecutive odd integers whose sum is 24 more than the greateset of the three integers

Question 538845: find three consecutive odd integers whose sum is 24 more than the greateset of the three integers
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
We can define the consecutive odd integers as:
x
x+2
x+4
.
3x+6 = x+4 + 24
.
3x +6 = x +28
.
2x = 22
.
x = 11
x+2 = 13
x+4 = 15
.
Check the answer.
sum = 39
39 = 15+24
Correct
.
Answer: The three numbers are 11, 13, and 15.
.
Done.
RELATED QUESTIONS
find the three consecutive odd integers whose sum is... (answered by checkley77)

The sum of three consecutive odd integers is 16 more than the greatest of the integers.... (answered by Earlsdon)

sum of four consecutive odd integers is three more than five times the least of integers. (answered by CubeyThePenguin)

find three consecutive integers whose sum is 11 more than twice the greatest of the three (answered by ReadingBoosters)

The sum of three consecutive odd integers is 35 more than twice the largest. Find them. (answered by tinbar)

sum of four consecutive odd integers is three more than five times the least of... (answered by CubeyThePenguin)

The sum of three consecutive odd integers is 72 more than the smallest integer. Find the... (answered by MathDazed)

the sum of two odd consecutive integers is 11 more than three times the larger number.... (answered by josgarithmetic)

Find three consecutive odd integers whose sum is 10 less than 4 times the least... (answered by stanbon)