x chia 3 dư 2 nên \(x-2\in B\left(3\right)\)
x chia 5 dư 3 nên \(x-3\in B\left(5\right)\)
=>\(\left\{{}\begin{matrix}x-2\in\left\{99;102;...;999\right\}\\x-3\in\left\{100;105;...;995\right\}\end{matrix}\right.\)
mà 100<=x<=999
nên \(x\in\left\{\text{113; 128; 143; 158; 173; 188; 203; 218; 233; 248; 263; 278; 293; 308; 323; 338; 353; 368; 383; 398; 413; 428; 443; 458; 473; 488; 503; 518; 533; 548; 563; 578; 593; 608; 623; 638; 653; 668; 683; 698; 713; 728; 743; 758; 773; 788; 803; 818; 833; 848; 863; 878; 893; 908; 923; 938; 953; 968; 983; 998}\right\}\)
=>có 60 số thỏa mãn