harpazo
Full Member
- Joined
- Jan 31, 2013
- Messages
- 891
The sum of the least and greatest of 3 consecutive integers is 60. What are the values of the 3 integers?
Solution:
In my opinion, this is poorly stated.
Integers x and x + 2 are equated to 60. This leads to 2 consecutive integers. I know that x + 1 is also included but not expressed in the problem.
x + x + 2 = 60
2x + 2 = 60
2x = 60 - 2
2x = 58
x = 58/2
x = 29
Now, x + 2 becomes 31 when x is 29. I must then use x + 1 and this becomes 30. I do not understand why we needed to equate x + x + 2 to 60 before including x + 1 to get the final three integers.
Answer: 29, 30, 31
Solution:
In my opinion, this is poorly stated.
Integers x and x + 2 are equated to 60. This leads to 2 consecutive integers. I know that x + 1 is also included but not expressed in the problem.
x + x + 2 = 60
2x + 2 = 60
2x = 60 - 2
2x = 58
x = 58/2
x = 29
Now, x + 2 becomes 31 when x is 29. I must then use x + 1 and this becomes 30. I do not understand why we needed to equate x + x + 2 to 60 before including x + 1 to get the final three integers.
Answer: 29, 30, 31