Question

Determinati nr. Naturale de 4 cifre care se micsoreaza cu 2916 daca rezolvare completa!

Answer 1

abcd={4351, 5462, 6573, 7684, 8795, 9906}
Explicație pas cu pas:
abcd=dabc+2916
abc*10+d=d*1000+abc+2916
10*abc-abc=1000*d-d+2916
9*abc=999*d +2916 /:9
abc=111*d+324
d=1 =>abc=111+324
abc=435=> abcd=4351
V: 4351=1435+2916
d=2 => abc=222+324
abc=546=> abcd=5462
V: 5462+2546+2916
d=3=> abc=333+324
abc=657=> abcd=6573
V: 6573=3657+2916
d=4=> abc=444+324
abc=768=> abcd=7684
V: 7684=4768+2916
d=5=> abc=555+324
abc=879=> abcd=8795
V: 8795=5879+2916
d=6=> abc=666+324
abc=990=> abcd=9906
V: 9906=6990+2916
abcd={4351, 5462, 6573, 7684, 8795, 9906}