Question 946455

If we start with an odd number and each number in the sequence is {{{2}}} more than the previous number then we will get consecutive {{{odd}}} integers. 

Let our five consecutive {{{odd}}} integers be



{{{x}}}  

{{{x+2}}} 

{{{x+4}}} 

{{{x+6}}}  

{{{x+8}}} 

if their sum is {{{159}}}, we have:


{{{x+x+2+x+4+x+6+x+8=159}}}

{{{5x+20=159}}}

{{{5x=159-20}}}

{{{5x=139}}}.........here is a problem;{{{139}}} is not a multiple of {{{5}}} which means there is {{{no}}} integer solution