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dark_magician_92

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Posts posted by dark_magician_92

    1. Daughter (1/7) gets half of mother's (2/7) share, and son (4/7) gets twice mother's share.

      Most popular solution.

    2. Mother (5/15) always gets at least one-third of estate. Son (8/15) gets four times daughter's (2/15) share
    3. If first twin born is son (6/9), give him his two-thirds. Mother (2/9) twice daughter's (1/9) share.
    4. If first twin born is daughter (3/9), give her her one-third. Son (4/9) twice mother's (2/9) share.

    Are there others?

    ya.

    wife gets nothing, son gets nil, daughter gets zilch and dark magician gets all of it

    :D

  1. Mom should get 30%

    Son should get 60%

    Daughter should get 10%

    1. son should get twice the inheirtance as mom

    so 2x -> x where x is mom's money

    2. Daughter should get 1/3 of the money that mom gets

    so 1/3 x --> where x is mom's money

    well 2x + x + 1/3 x add up to all the money so

    2x + x + 1/3 x = 100%

    where x = 30

    so 2x = 60

    and 1/3 x =10

    If i am not missing something, then daughter should get half of mom and not 1/3rd.

  2. 2 possiblities giving same answer

    all lying - 7-bill 8-susan

    1 true rest lying 7- bill, 8-susan

    All can't lie, because Statement 1 becomes true as soon as seven are considered lie. It is really amazing isn't it...?

    But there are 8 people. If all of them lie, then statement 1 is false.

  3. Object: to prove that i < 0 ( that is, sqrt(-1) < 0 )

    ( .5 + sqrt(3/4)*i )^3 = (-1)^3

    which means that .5 + sqrt(3/4)*i = -1

    So then 1 + sqrt(3)*i = -2

    sqrt(3)*i = -1

    i = -1/sqrt(3)

    Therefore i is a negative number. QED.

    when talking about complex number, there are 2 things, magnitude and arguement 0.5+sqrt(3/4)*i 's magnitude is equal to one and the arguement results in the further -ve sign. as aruement is pi/3 and arguement^3=3*arguement(a property whose name i have forgetton i.e. arguement^n=n*arguement)=pi. and 1*pi =-1 in complex.

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