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24 October, 02:28

Six consecutive whole numbers are each divided by 6. Find the sum of the resulting six remainders

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  1. 24 October, 03:39
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    FYI this is the english section, not math.

    anyway.

    6 consectuve whole numbers are each divided by 6. find the sum of the resulting 6 remainders

    so x, x+1, x+2, x+3, x+4, x+5

    lets say that x=6

    first one=no remainder

    2nd=Remainder=1

    3rd, R=2

    4th R=3

    5th R=4

    6th R=5

    addthem all tother (1+2+3+4+5) and get 15

    if x=1 then

    1st R=1

    2nd R=2

    3rd R=3

    4th R=4

    5th R=5

    6th R=0

    notice that we get 1+2+3+4+5 same as the first equation so the answer sill always be 15
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