15.
Los dos números seran: a y b
1. a/b=2k/3k
2. a+b=5/4
3a=2b
Usaremos la ecucacion 2
a+b=5/4
a=5/4 -b
a=5-4b/4
Reemplazamos
3(5-4b/4)=2b
15-12b/4=2b
8b=15-12b
20b=15
b=15/20 simplificando 3/4
Para hallar A
a=5-4(3/4)/4
a=2/4 simplificando 1/2
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15.
Los dos números seran: a y b
1. a/b=2k/3k
2. a+b=5/4
3a=2b
Usaremos la ecucacion 2
a+b=5/4
a=5/4 -b
a=5-4b/4
Reemplazamos
3a=2b
3(5-4b/4)=2b
15-12b/4=2b
8b=15-12b
20b=15
b=15/20 simplificando 3/4
Para hallar A
a=5-4b/4
a=5-4(3/4)/4
a=2/4 simplificando 1/2