Question

Determinati numarul natural abc stiind ca 9×abc=dabc

Answer 1

9(100a+10b+c)=1000d+100a+10b+c
900a+90b+9c=1000d+100a+10b+c
800a+80b+8c=1000d
8(100a+10b+c)=1000d
100a+10b+c reprezinta numarul de forma abc

8*abc=1000d
abc=1000*d:8
abc=125*d
d=1 => numarul de forma abc=125
d=2 => numarul de forma abc=250
d=3 => numarul de forma abc=375
d=4 => numarul de forma abc=500
d=5 => numarul de forma abc=625
d=6 => numarul de forma abc=750
d=7 => numarul de forma abc=875