Question

Daca 3a/2b = 5/3 si 5a+2b = 204, atunci calculați diferența nr. a si b.
URGENT!

Answer 1

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

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

$9a = 10b$

$a = \frac{10b}{9}$

$5a + 2b = 204$

$5 \times \frac{10b}{9} + 2b = 204$

$\frac{50b}{9} + 2b = 204 \: | \times 9$

$50b + 18b = 1836$

$68b = 1836$

$b = \frac{1836}{68}$

$b = 27$

$a = \frac{10b}{9}$

$a = \frac{10 \times 27}{9}$

$a = \frac{270}{9}$

$a = 30$

$a - b = 30 - 27 = 3$