Răspuns:
a = 203 ; b = 238
Explicație pas cu pas:
Notam a si b cele doua numere
b = a +35 ; b > a =>
(b+a) : (b-a) = 12 rest 21 <=>
(a+35+a):(a+35-a) = 12 rest 21 <=>
(2a +35):35 = 12 rest 21 =>
2a +35 = 12·35 + 21 <=>
2a+35 = 441 =>
2a = 441-35
2a = 406 => a = 406:2 => a = 203
b = 203+35 => b = 238
Verificare:
(238+203):(238-203) = 441:35 = 12 rest 21
35
__
=91
70
___
21 , corect