valoarea raportului a doua nr nat. este egal cu 16 supra 25.Madia aritmetica este egala cu 123 supra 20.Aflati cele doua nr!
Va rog e urgent dau COROANA


Răspuns :

[tex]a,b-nr.[/tex]

[tex] \frac{a}{b} = \frac{16}{25} [/tex]

[tex]25a = 16b[/tex]

[tex]a = \frac{16b}{25} [/tex]

[tex](a + b) \div 2 = \frac{123}{20} [/tex]

[tex]( \frac{16b}{25} + b) \div 2 = \frac{123}{20} \: | \times 20[/tex]

[tex]10( \frac{16b}{25} + b) = 123[/tex]

[tex] \frac{160b}{25} + 10b = 123 \: | \times 25[/tex]

[tex]160b + 250b = 3075[/tex]

[tex]410b = 3075[/tex]

[tex]b = \frac{3075}{410} [/tex]

[tex]b = \frac{615}{82} [/tex]

[tex]a = \frac{16b}{25} [/tex]

[tex]a = \frac{16 \times \frac{615}{82} }{25} [/tex]

[tex]a = \frac{8 \times \frac{615}{41} }{25} [/tex]

[tex]a = \frac{ \frac{4920}{41} }{25} [/tex]

[tex]a = \frac{4920}{41} \times \frac{1}{25} [/tex]

[tex]a = \frac{4920}{1025} [/tex]

[tex]a = \frac{984}{205} [/tex]