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Pythagoras februari 1999: Cijfers verwisselen: de oplossing

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Pythagoras februari 1999

Cijfers verwisselen: de oplossing

door Leon van den Broek



Neem twee cijfers: a en b; zeg dat a>b. Daar kunnen we twee getallen mee maken: ab en ba. Het eerste getal heeft a tientallen en b eenheden, het tweede getal heeft b tientallen en a eenheden. Ze verschillen dus:

formule

De richtingen ab en ba op de gradenboog verschillen dus a-b keer $90^\circ$. Als a - b = 2 of a - b = 6 verschillen de richtingen $180^\circ$ en zijn ze dus tegengesteld. Als a - b = 1, 3, 5, 7 of 9 staan de richtingen loodrecht op elkaar (ze verschillen dan $90^\circ$ of $270^\circ$). Als a - b = 4 of 8 zijn de richtingen hetzelfde. Controleer maar in de gradenboog.
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Tuesday 27 May 2003, 14:10

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