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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 5: Tìm `x` với `12+13+14+…+x=399`.

Toán Lớp 5: Tìm x với 12+13+14+…+x=399.

Comments ( 2 )

  1. 12 + 13 + 14 + … + x = 399
    ( 12 + x ) × ( x – 11 ) : 2 = 399
    ( 12 + x ) × ( x – 11 ) = 399 × 2
    ( 12 + x ) × ( x – 11 ) = 798
    798 = 42 × 19
    => 12 + x = 42
                   x = 42 – 12
                   x = 30
    text{Vậy x = 30}
    #dtkc
     

  2. Nhận xét : Từ 12 đến x có tất cả : ( x – 12 ) : 1 + 1 = x – 11
    12 + 13 + 14 + …. + x = 399
    ( x + 12 ) xx ( x – 11 ) : 2 = 399
    ( x + 12 ) xx ( x – 11 ) = 399 xx 2
    ( x + 12 ) xx ( x – 11 ) = 798
    ( x + 12 ) xx ( x – 11 ) =  42 xx 19
    Vì ( x + 12 ) xx ( x – 11 ) = 42 xx 19 nên x + 12 = 42 ; x – 11 = 19 hay x = 30
    Vậy , x = 30 . 
     

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222-9+11+12:2*14+14 = ? ( )