Question

Raportul dintre triplul unui numar si dublul altui numar este 3/5, iar suma celor doua numere este 210. Aflati numerele.
•○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○~~~Acord 15 puncte~~~○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○•

Answer 1

$\frac{3a}{2b} = \frac{3}{5}$

$3a \times 5 = 2b \times 3$

$15a = 6b$

$a = \frac{6b}{15}$

$a = \frac{2b}{5}$

$a + b = 210$

$\frac{2b}{5} + b = 210 \: | \times 5$

$2b + 5b =1050$

$7b = 1050$

$b = \frac{1050}{7}$

$b = 150$

$a = \frac{2b}{5}$

$a = \frac{2 \times 150}{5}$

$a = \frac{300}{5}$

$a = 60$