a+b = 5 456
a - b = 4×a : 6 |×6
6×a-6×b = 4×a
6×a-4×a = 6×b
2×a = 6×b
a |___|___|___|___|___|___|
b |___|___|
avem 8 segmente egale = 5 456
5 456 : 8 = 682 (un segment egal)
a = 6 × 682 = 4 092
b = 2 × 682 = 1 364
Verificare:
4 092 + 1 364 = 5 456
4 092 - 1 364 = 4×4 092:6
2 728 = 4 × 682
2 728 = 2 728
Raspuns:
a = 4 092
b = 1 364