a + b + c = 257
a : b = 5 rest 24
a = 5×b+24
c = a : 2 ==> a = 2c
b =( 2c - 24) : 5
inlocuim in prima relatie in functie de c
2c + (2c-24) : 5 + c = 257 |×5
10c + 2 c - 24 + 5 c = 1285
17c = 1285+24
17c = 1309
c = 1309 : 17
c = 77
a = 2×77 = 154
b = (2×77-24) : 5 = (154-24):5 = 130:5=26
Verificare:
154 + 26 + 77 = 257