Difference between revisions of "NMMRUS 10 pre Loesung"

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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>
+
6) <math>M = 4 \cdot t</math><br/>
 +
7) <math>M \over 4 = t</math>
 +
 
 +
Mit dem Wissen aus 1) über <math>M</math> folgt:
 +
 
 +
8) <math>t = 24 \over 4 = 6</math>
 +
 
 +
Aus 3) und 1) folgt dann unmittelbar:
 +
 
 +
9) <math>24 - 6 = A = 18</math>

Revision as of 09:12, 2 September 2007

Wie alt ist Ann?

zurück zur Aufgabenstellung

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.

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}