Răspuns :
a,b-nr.
a+b=1580
a:b=6 rest 5
a=6b+5
6b+5+b=1580
6b+b=1580-5
7b=1575
b=1575:7
b=225
a=6b+5
a=6×225+5
a=1350+5
a=1355
a+b=1580
a:b=6 rest 5
a=6b+5
6b+5+b=1580
6b+b=1580-5
7b=1575
b=1575:7
b=225
a=6b+5
a=6×225+5
a=1350+5
a=1355
a+b=1580
a:b=6 r 5....=> a=6b+5
6b+5+b=1580
7b+5=1580
7b=1580-5
7b=1575
b=1575:7
b=225
a=225*6+5
a=1350+5
a=1355
1355+225=1580
1355:225=6 r 5
a:b=6 r 5....=> a=6b+5
6b+5+b=1580
7b+5=1580
7b=1580-5
7b=1575
b=1575:7
b=225
a=225*6+5
a=1350+5
a=1355
1355+225=1580
1355:225=6 r 5