Question 226000
For three consecutive odd integers, the sum of the least and greatest is 146. What is the sum of all three integers?


What is the answer?


Step 1.  Let {{{n}}} be the first odd integer.


Step 2.  Let {{{n+2}}} and {{{n+4}}} and be the next two consecutive integers.


Step 3.  Let {{{n+n+4=146}}} since the sum of the least and greatest is 146.


Step 4.  Solving the equation in Step 3 yields the following steps.


*[invoke explain_simplification "n+n+4=146" ]


With n=71, then n+2=73 and n+4=75 where the sum of the least and largest number is 146.  The sum is 71+73+75=219


Step 8.  ANSWER:  The sum of the numbers is 219.


I hope the above steps were helpful.


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Respectfully,
Dr J

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