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  • 07-02-2017
  • Mathematics
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The sum of 28 consecutive whole numbers is 686. Find the smallest addend in the sum.

Respuesta :

jdoe0001 jdoe0001
  • 07-02-2017
[tex]\bf \textit{28 consecutive numbers}\to \begin{cases} a\\ a+1\\ a+2\\ a+3\\ a+4\\ a+5\\ a+6\\ a+7\\ a+8\\ a+9\\ a+10\\ a+11\\ a+12\\ a+13\\ a+14\\ a+15\\ a+16\\ a+17\\ a+18\\ a+19\\ a+20\\ a+21\\ a+22\\ a+23\\ a+24\\ a+25\\ a+26\\ a+27 \end{cases}[/tex]

now, their sum is 686
meaning

(a)+(a+1)+(a+2)+(a+3)+(a+4)+(a+5)+(a+6)+(a+7)+(a+8)+(a+9)+(a+10)+(a+11)+(a+12)+(a+13)+(a+14)+(a+15)+(a+16)+(a+17)+(a+18)+(a+19)+(a+20)+(a+21)+(a+22)+(a+23)+(a+24)+(a+25)+(a+26)+(a+27) = 686

solve for "a"
Answer Link

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