Perl, 71 62 61 bytes

includes +1 for -n

$;=length($b+=y///c);$w+=split$"}{printf"%$;d %$;d $b",$.,$w

Commented:

while (<>) {                         # implicit because of -n
    $; = length(                     # printf formatting: width
       $b += y///c                   # count characters
    );
    $w += split $"                   # count words
}{                                   # explicit: end while, begin END block
    printf "%$;d %$;d $b", $., $w    #  $. = $INPUT_LINE_NUMBER
}                                    # implicit because of -n

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