Question

Raportul a doua nr. e
$\frac{2}{3}$
iar dif lor este 15. aflați nr

Answer 1

$a,b-nr.$

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

$3a = 2b$

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

$a - b = 15$

$\frac{2b}{3} - b = 15 \: | \times 3$

$2b - 3b = 45$

$- b = 45 \: | \times ( - 1)$

$b = - 45$

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

$a = \frac{2 \times ( - 45)}{3}$

$a = - \frac{90}{3}$

$a = - 30$

$a - b = - 30 - ( - 45) = - 30 + 45 = 15$