Question

Aflati ab va rog ...
Exercitiul 30

Answer 1

a) ab + ba0 = 403

10a + b + 100b + 10a + 0 = 403

20a + 101b = 403

2ab - ba = 218

200 + 10a + b - 10b - a = 218

200 + 9a - 9b = 218

9a - 9b = 218 - 200

9a - 9b = 18

9 * (a-b) = 18

a - b = 18 : 9

a - b = 2 => a = b + 2

20a + 101b = 403

20 * (b + 2) + 101b = 403

20b + 40 + 101b = 403

121b = 403 - 40

121b = 363

b = 363 : 3

b = 3

a = b + 2 = 3 + 2 = 5

b) 3ab - ba = 273

300 + 10a + b - 10b - a = 273

300 + 9a - 9b = 273

9a - 9b = 273 - 300

9 * (a-b) = -27

a - b = -27 : 9

a - b = -3 => a = -3 + b = b - 3

ab - ba0 = -99

10a + b - 100b - 10a - 0 = -99

-99b = -99

b = -99 : -99

b = 1

a = 1 - 3 = -2