Question 1075430
{{{system(2n+1,2n+3,2n+5,2n+7)}}}


{{{(2n+3)+(2n+5)=19+(2n+7)}}}


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{{{2n+8+2n=19+2n+7}}}

{{{2n=19+7-8}}}

{{{2n=18}}}

{{{n=9}}}


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The consecutive odd integers:  19, 21, 23, 25



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The alternative simpler method also works:
{{{matrix(1,4,n,n+2,n+4,n+6)}}}


{{{(n+2)+(n+4)=19+(n+6)}}}
{{{2n+6=n+25}}}
{{{n=25-6}}}
{{{n=19}}}