Răspuns :
[tex]a)\overline{a5c5}=3\cdot1000+b \cdot 100+7 \cdot 10+d=\overline{3b7d}=>\\
a=3;b=5;c=7;d=5\\
b)4+x+6+7+y+2=23\\
x+y=23-19\\
x+y=4\\
0+4=4=>406742\\
1+3=4=>416732\\
2+2=4=>426722\\
3+1=4=>436712\\
4+0=4=>446702\\[/tex]
[tex]c)\overline{4a2bc5d}=\overline{d5cb2a4}\\ d=4;a=5;c=2;b=0,1,2,..,9;\\ Numerele\ sunt:4520254,4521254,4522254,4523254,4524254,4525254,\\ 4526254,4527254,4528254,4529254.[/tex]
[tex]c)\overline{4a2bc5d}=\overline{d5cb2a4}\\ d=4;a=5;c=2;b=0,1,2,..,9;\\ Numerele\ sunt:4520254,4521254,4522254,4523254,4524254,4525254,\\ 4526254,4527254,4528254,4529254.[/tex]
a) a5c5 = 3·1000 + b·100 + 7·10 + d ⇒ a=3; b=5; c=7; d=5
b) 4x67y2 ⇒ x +y + 19 = 23 ⇒ x +y=4 ( x,y) ∈{(0,4),(1,3),(2,2),(3,1),( 4,0)} ⇒ numerele cerute 406742,416732.....
c) 4a2bc5d ≡ d5cb2a4 ⇒d=4 a=5 c=2 b∈{0,1,2,3,4,5,6,7,8,9}