pceaRachackcler pceaRachackcler
  • 25-12-2016
  • Mathematics
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The sum of 6 consecutive intigers is 519. find the intigers

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evianluw
evianluw evianluw
  • 26-12-2016
assume the first integer is [tex]x[/tex].
then we have the sequence for the 6 numbers: 
[tex]x,x+1,x+2,x+3,x+4,x+5[/tex]
their sum equals 519. so we have the equation
[tex](x)+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)=519[/tex]
now solve it. [tex]6x+15=519[/tex]
[tex]6x=504[/tex]
[tex]x=84[/tex]
now that we know the value of [tex]x[/tex], we can find the sequence of the integers:
[tex]84,85,86,87,88,89[/tex]

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