Answer: 29
Work Shown:
- x = first odd number
- x+2 = second odd number
- x+4 = third odd number
- x+6 = fourth odd number
- x+8 = fifth odd number
Add up those items to get a sum of 145. Solve for x.
(x)+(x+2)+(x+4)+(x+6)+(x+8) = 145
5x+20 = 145
5x = 145-20
5x = 125
x = 125/5
x = 25
Then we can determine the following
- 1st number = x = 25
- 2nd number = x+2 = 25+2 = 27
- 3rd number = x+4 = 25+4 = 29 is the answer
- 4th number = x+6 = 25+6 = 31
- 5th number = x+8 = 25+8 = 33
In short the sequence of numbers is: 25, 27, 29, 31, 33
As verification,
25+27+29+31+33 = 145
which tells us the answer is correct.