Răspuns :
a + b = 235
a/b = 2/3
a = 2b/3
2b/3 + b = 235 /x3
2b + 3b = 705
5b = 705
b = 705 : 5 = 141
a = 141 x 2 / 3 = 282/3 = 94
94 + 141 = 235
94/141 = 2/3
II varianta :
2 + 3 = 5 parti
235 : 5 = 47
47 x 2 = 94
47 x 3 = 141
94/141 = 2/3
94 + 141 = 235
[tex] \frac{a}{b} = \frac{2}{3} \\ \\ a + b = 235 \\ \\ a = \frac{2b}{3} \\ \\ \frac{2b}{3} + b = 235 \\ \\ 2b + 3b = 705 \\ \\ 5b = 705 \\ \\ b = 141 \\ \\ a = \frac{2 \times 141}{3} = 94 [/tex]