Răspuns :
x=y+35
(x+y):(x-y)=12 rest 21
(y+35+y):(y+35-y)=12 rest 21
(2y+35):35=12 rest 21
2y+35=35*12+21
2y+35=441
2y=441-35
2y=406
y=203
x=203+35
x=238
Verificare : 238=203+35⇒238=238 ( A )
(x+y):(x-y)=12 rest 21
(y+35+y):(y+35-y)=12 rest 21
(2y+35):35=12 rest 21
2y+35=35*12+21
2y+35=441
2y=441-35
2y=406
y=203
x=203+35
x=238
Verificare : 238=203+35⇒238=238 ( A )
a
b=a+35
(a+b):(a-b)=12 rest 21
a+b=12(a-b)+21
a+35+a= 12(a+35+a)+21
2a+35= 24a +420 +21
2a+35= 24a +441
2a-24a =441 -35
-22a =406
a= -406/22= -203/11
b= -203/11 +35= (-203+385)/11= 182/11
b=a+35
(a+b):(a-b)=12 rest 21
a+b=12(a-b)+21
a+35+a= 12(a+35+a)+21
2a+35= 24a +420 +21
2a+35= 24a +441
2a-24a =441 -35
-22a =406
a= -406/22= -203/11
b= -203/11 +35= (-203+385)/11= 182/11