Difference between revisions of "NMMRUS 10 pre Loesung"
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3) <math>M - t = A</math> | 3) <math>M - t = A</math> | ||
| − | Von dem Doppelten von Gleichung 3) wird Gleichung 2) subtrahiert. | + | Von dem Doppelten von Gleichung 3) wird Gleichung 2) subtrahiert (damit <math>A</math> herausfällt). |
4) <math>2 \cdot (M - t) - M = 2 \cdot A - 2 \cdot (A - t)</math><br/> | 4) <math>2 \cdot (M - t) - M = 2 \cdot A - 2 \cdot (A - t)</math><br/> | ||
5) <math>M - 2 \cdot t = 2 \cdot t</math><br/> | 5) <math>M - 2 \cdot t = 2 \cdot t</math><br/> | ||
6) <math>M = 4 \cdot t</math><br/> | 6) <math>M = 4 \cdot t</math><br/> | ||
| − | 7) <math>M \over 4 = t</math> | + | 7) <math>{M \over 4} = t</math> |
Mit dem Wissen aus 1) über <math>M</math> folgt: | Mit dem Wissen aus 1) über <math>M</math> folgt: | ||
| − | 8) <math>t = 24 \over 4 = 6</math> | + | 8) <math>t = {24 \over 4} = 6</math> |
Aus 3) und 1) folgt dann unmittelbar: | Aus 3) und 1) folgt dann unmittelbar: | ||
9) <math>24 - 6 = A = 18</math> | 9) <math>24 - 6 = A = 18</math> | ||
| + | |||
| + | Ann ist heute 18 Jahre alt. | ||
Latest revision as of 09:16, 2 September 2007
Wie alt ist Ann?
Marys Alter heute sei Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle M} , das von Ann Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A} . Das damalige Alter von Mary Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle M - t} , sowie Anns Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A - t} . Die Angabe sieht dann so aus:
1) Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle M = 24}
2) Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle M = 2 \cdot (A - t)}
3) Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle M - t = A}
Von dem Doppelten von Gleichung 3) wird Gleichung 2) subtrahiert (damit Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A} herausfällt).
4) Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2 \cdot (M - t) - M = 2 \cdot A - 2 \cdot (A - t)}
5) Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle M - 2 \cdot t = 2 \cdot t}
6) Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle M = 4 \cdot t}
7) Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {M \over 4} = t}
Mit dem Wissen aus 1) über Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle M} folgt:
8) Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle t = {24 \over 4} = 6}
Aus 3) und 1) folgt dann unmittelbar:
9) Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 24 - 6 = A = 18}
Ann ist heute 18 Jahre alt.