a + b = 60
Daca
a = a + 30
b = b + 36
atunci
a + b = 60 + 30 + 36
a + b = 90 + 36
a + b = 126
si
[tex] \frac{a}{b} = \frac{3}{4} [/tex]
[tex] \frac{a}{3} = \frac{b}{4} = k
[/tex]
[tex] \frac{a}{3} = k[/tex]
a = 3k
[tex] \frac{b}{4} = k[/tex]
b = 4k
a + b = 126
3k + 4k = 126
7k = 126
k = 126 : 7
k = 18
a = 3k = 3· 18 = 54
b = 4k = 4· 18 = 72
