\(1000a+100b+10c+d+100a+10b+c+100a+10b+d=4426\)
\(\Leftrightarrow1200a+120b+11c+2d=4426\)
\(\Rightarrow1200a< 4426\Rightarrow a\le3\)
Nếu \(a\le2\Rightarrow1200a+120b+11c+2d\le1200.2+9\left(120+11+2\right)=3597< 4426\left(ktm\right)\)
\(\Rightarrow2< a\le3\Rightarrow a=3\)
\(\Rightarrow120b+11c+2d=4426-1200.3=826\)
- Nếu \(b\ge7\Rightarrow120b\ge840>826\left(ktm\right)\) \(\Rightarrow b< 7\)
Nếu \(b\le5\Rightarrow120b+11c+2d\le120.5+9.\left(11+2\right)=717< 826\left(ktm\right)\)
\(\Rightarrow5< b< 7\Rightarrow b=6\)
\(\Rightarrow11c+2d=826-120.6=106\)
Lý luận tương tự ta được \(c>7\)
Mà \(2d\) và \(106\) chẵn \(\Rightarrow c\) chẵn \(\Rightarrow c=8\Rightarrow d=9\)
Vậy số cần tìm là \(3689\)