Question

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

Answer 1

$a,b-nr.$

$\frac{a}{b} = \frac{16}{25}$

$25a = 16b$

$a = \frac{16b}{25}$

$(a + b) \div 2 = \frac{123}{20}$

$( \frac{16b}{25} + b) \div 2 = \frac{123}{20} \: | \times 20$

$10( \frac{16b}{25} + b) = 123$

$\frac{160b}{25} + 10b = 123 \: | \times 25$

$160b + 250b = 3075$

$410b = 3075$

$b = \frac{3075}{410}$

$b = \frac{615}{82}$

$a = \frac{16b}{25}$

$a = \frac{16 \times \frac{615}{82} }{25}$

$a = \frac{8 \times \frac{615}{41} }{25}$

$a = \frac{ \frac{4920}{41} }{25}$

$a = \frac{4920}{41} \times \frac{1}{25}$

$a = \frac{4920}{1025}$

$a = \frac{984}{205}$