Question

Daca a+b=1 şi 2a/5=3b/7,aflati numerele a si b.

Answer 1

$a+b=1$

$\frac{2a}{5} = \frac{3b}{7}$

$2a*7=5*3b$

$14a=15b$

$a= \frac{15b}{14}$

$a+b=1$

$\frac{15b}{14} +b=1$

$15b+14b=14$

$29b=14$

$b= \frac{14}{29}$

$a= \frac{15}{14} b= \frac{15}{14} * \frac{14}{29} = \frac{15}{29}$

Verificare:

$a+b= \frac{15}{29} + \frac{14}{29} = \frac{29}{29} =1$