a/b = 11/9 ==> a = 11b/9
a+16 - b + 7 = 123
a - b = 123 - 23
a - b = 100
inlocuim pe a in ultima relatie:
11b/9 - b = 100 |×9
11b - 9b = 100 × 9
2×b = 900
b = 900 : 2
b = 450
a = 450 + 100 = 550
Verificare:
550/450 = 11/9
(550+16) - (450-7) = 123
566 - 443= 123
123 = 123 (adevarat)
a = 550
b = 450