Răspuns :
x/5= c si r=3 => x=5c+3
x are 2 cifre , aflam valoarea maxima
5c+3<100 => 5c<97 => 5c=95 => c=19, valoarea max a lui x este 5*19+3, adica 98
c=0 => x=3
c=1 => x=8
c=2 => x=13,
Facem suma folosind formula pr arit
S = (13+98)*18/2=999
x are 2 cifre , aflam valoarea maxima
5c+3<100 => 5c<97 => 5c=95 => c=19, valoarea max a lui x este 5*19+3, adica 98
c=0 => x=3
c=1 => x=8
c=2 => x=13,
Facem suma folosind formula pr arit
S = (13+98)*18/2=999
x:5=c1 rest 3
x=M₅ +3
1)x=5*1+3=5+3=8
2)x=5*2+3=10+3=13
3)x=5*3+3=15+3=18
4)x=5*4+3=20+3=23
5)x=5*5+3=25+3=28
6)x=5*6+3=30+3=33
7)x=5*7+3=35+3=38
8)x=5*8+3=40+3=43
9)x=5*9+3=45+3=48
10)x=5*10+3=50+3=53
11)x=5*11+3=55+3=58
12)x=5*12+3=60+3=63
13)x=5*13+3=65+3=68
14)x=5*14+3=70+3=73
15)x=5*15+3=75+3=78
16)x=5*16+3=80+3=83
17)x=5*17+3=85+3=88
18)x=5*18+3=90+3=93
19)x=5*19+3=95+3=98
Suma tuturor numerelor naturale de 2 cifre care impartite la 5 dau restul 3 este:
S=13+18+....+98
S=(13+98)*18/2
S=111 *9
S=999
x=M₅ +3
1)x=5*1+3=5+3=8
2)x=5*2+3=10+3=13
3)x=5*3+3=15+3=18
4)x=5*4+3=20+3=23
5)x=5*5+3=25+3=28
6)x=5*6+3=30+3=33
7)x=5*7+3=35+3=38
8)x=5*8+3=40+3=43
9)x=5*9+3=45+3=48
10)x=5*10+3=50+3=53
11)x=5*11+3=55+3=58
12)x=5*12+3=60+3=63
13)x=5*13+3=65+3=68
14)x=5*14+3=70+3=73
15)x=5*15+3=75+3=78
16)x=5*16+3=80+3=83
17)x=5*17+3=85+3=88
18)x=5*18+3=90+3=93
19)x=5*19+3=95+3=98
Suma tuturor numerelor naturale de 2 cifre care impartite la 5 dau restul 3 este:
S=13+18+....+98
S=(13+98)*18/2
S=111 *9
S=999