Question

Afla toate perechile de nr naturale ( d ,r ) care fac adevarate scrierile : d : 5 = 43 rest r d : 2 = 199 rest r d : 4 = 89 rest r d : 3 = 77 rest r

Answer 1

d : 5 = 43 rest r ; restul < 5⇒r={0,1,2,3,4}
d=5x43+0=215;
d=5x43+1=216;
d=5x43+2=217;
d=5x43+3=218;
d=5x43+4=219;
d : 2 = 199 rest r ; r<2⇒r={0;1}
d=2x199+0=398;
d=2x199+1=399;
d : 4 = 89 rest r ; r<4 ⇒ r={0;1;2;3}
d=4x89+0=356;
d=4x89+1=357;
d=4x89+2=358;
d=4x89=3=359;
d : 3 = 77 rest r ; r< 3 ⇒ r={0;1;2}
d=3x77+0=231
d=3x77=1=232
d=3x77+2=233