Răspuns:
Explicație pas cu pas:
[tex] \frac{a}{b} = \frac{2}{7} = > \frac{a}{2} = \frac{b}{7} = k = > a = 2k \: \: \: \: \: b = 7k \\ b - a = 7k - 2k = 5k = > 5k = 100 | \div 5 = > k = 20 \\ = > a = 2 \cdot20 = > \boxed{ \bold{a = 40}} \\ = > b = 7 \cdot20 = > \boxed{ \bold{ b = 140}}[/tex]
Verificare:
b - a = 140 - 40 = 100 (A)
[tex] \frac{a}{b} = \frac{40}{140} = \frac{2}{7} = > 7 \cdot40 = 2 \cdot140 = > 280 = 280 \: (A)[/tex]
