Question

diferenta a doua numere este 34710,iar raportul lor este 4/7.afla cele doua numere.

Answer 1

b - a = 34 710

a / b = 4 / 7 => 7a = 4b => a = 4b / 7

b - 4b / 7 = 34 710 | × 7

7b - 4b = 242 970

3b = 242 970 | : 3

b = 80 990

a = 80 990 - 34 710

a = 46 280

Answer 2

$a,b-nr.$

$a - b = 34710$

$\frac{a}{b} = \frac{4}{7}$

$7a = 4b$

$a = \frac{4b}{7}$

$\frac{4b}{7} - b = 34710 \: | \times 7$

$4b - 7b = 242970$

$- 3b = 242970 \: | \div ( - 3)$

$b = - 80990$

$a = \frac{4b}{7}$

$a = \frac{4 \times ( - 80990)}{7}$

$a = - \frac{323960}{7}$

$a = - 46280$

$a - b = - 46280 - ( - 80990) = - 46280 + 80990 = 34710$