Question 28

The sum of the first and last of four consecutive odd integers is $$52$$. The sum of all of them is


Correct Answer: 104

Solution

Write the four odd integers as $$n,n+2,n+4,n+6$$. Then $$n+(n+6)=52$$, so $$n=23$$. Their sum is $$23+25+27+29=104$$.

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