Question

abc+bac+acb+bca=1bba nr distincte ms

Answer 1

Răspuns

c=8 , b=4, a=2

Explicație pas cu pas:

abc+bac+acb+bca=1bba

abc=100*a+10*b+c. Analog:

211*a+211*b+22c=1000+110*b+a

210*a+101*b+22c=1000

a=(1000-101b-22c)/210

daca ne uitam la ultimele cifre c+c+b+a=a

c+c+b=0

2c+b=0

pt c=1 b=8 => a=170/210

pt c=2 b=6 => a=350/210

pt c=3 b=4 => a=530/210

pt c=4 b=2 => a=710/210

pt c=6 b=8 => a=60/210

pt c=7 b=6 => a=240/210

pt c=8 b=4 => a=420/210=2

pt c=9 b=2 => a=600/210