Hannie Shaft-General Megathread for the 1sixth of September 2021

Jannetje Johanna Schaft, born on this day in 1920, was a renowned Dutch communist resistance fighter during World War II. She became known as "the girl with the red hair" and her secret name in the resistance movement was "Hannie".

As a member of the anti-Nazi resistance, she carried out attacks on Germans, Dutch Nazis, collaborators and traitors. She learned to speak German fluently and sometimes became involved with German soldiers. Such was her notoriety that "the girl with the red hair" was added to the Nazi's most-wanted list, and she died her hair black to continue her acts of espionage.

Schaft was eventually arrested at a military checkpoint in Haarlem on March 21st, 1945 while distributing the illegal communist newspaper "de Waarheid" (literally "The Truth"). She was shot dead three weeks before the end of the war in the dunes of Bloemendaal. :07:

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So got a few winners for today's one. Everyone :rat-salute: comrades @Coolkidbozzy, @VHS, @CopsDyingIsGood, @femboi, @XiJinpingOfficial, @LeninWeave, @biden and comrade @01100011101001111100 for not only getting it but also providing a great method for solving which she has allowed me to use for the answer.

Previous answer

4 brothers, 3 sisters

To arrive at the answer:

Let the number of boys be B, let the number of girls be G.
From the first relation, we have B-1 = G as we take it from the point of view of one of the boys, we must remove that boy from the relation
From the second relation, we have G-1 = B/2 each sister has exactly half as many sisters as brothers.
With a little rearranging, we can get B = G+1 and 2G-2 = B => G+1 = 2G-2 => 3 +G= 2G => G=3
We just plug this into B-1 = G and get B-1 = 3 => B=4.

Therefore, there are 4 boys and 3 girls.

This should also be all possible solutions, but if anyone is a real stickler we can check by a 2x2 matrix to see if it's invertible. These linear equations correspond to matrix equations {{1, -1}, {-1/2, 1}} * {{B}, {G}} = {{1}, {1}} and as {{1, -1}, {-1/2, 1}} is invertible (relatively easy to see as we can row reduce it to an upper triangular matrix quickly or just use the 2x2 det formula) this equations has only one solution. There you go. In case anyone forgot why it equals {{1}, {1}} , that's just the constant matrix from the 2 linear equations.

The butcher, the baker and the candlestick maker

The butcher is twice as old as they were when the baker was half as old as was the candlestick maker. The candlestick maker is twice as old as the butcher was when the baker was half as old as the butcher is now. Twelve years ago the baker was half as old as the butcher will be twelve years from now.

How old is each of them now?

Like usual have fun :soviet-heart: and remember to dm @Wmill the answer. I may not get back immediately today since I got something to do but I'll try.

early mega ik