x+(x+5)+(x+10)+…+(x+555)=32424

Question

x+(x+5)+(x+10)+…+(x+555)=32424

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Verity 4 years 2020-11-18T05:08:30+00:00 2 Answers 67 views 0

Answers ( )

  1. Edana
    0
    2020-11-18T05:10:24+00:00
    Reply

    Đáp án:

    `x=12`

    Giải thích các bước giải:

    Ta có: `x+(x+5)+(x+10)+…+(x+555)=32424`

    `<=>x+x+5+x+10+…+x+555=32424`

    `<=>(x+x+x+…+x)+(5+10+…+555)=32424 [` Có `(555-5)/5+1+1=112` chữ số `x` `]`

    `<=>112x+[(5+555)*((555-5)/5+1)]/2=32424`

    `<=>112x+31080=32424`

    `<=>112x=1344`

    `<=>x=12`

    Vậy `x=12`

     

  2. minhkhang
    0
    2020-11-18T05:10:25+00:00
    Reply

    $x+(x+5)+(x+10)+…+(x+555)=32424$

    $↔x+x+5+x+10+…+x+555=32424$

    $↔112x+(5+10+…+555)=32424$

    $↔112x+31080=32424$

    $↔112x=1344$

    $↔x=12$

    Vậy $x=12$

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