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则100a+10b+c=10a+b+10a+c+10b+a+10b+c+10c+a+10c+b,
100a+10b+c=22(a+b+c)
78a=12b+21c
26a=4b+7c
当a=1时,b=3,c=2
当a=2时,b=6,c=4
当a=3时,b=9,c=6
当a≥4时,b>10,不合题意.
所以满足条件的三位数只有132,264,396.
答:满足条件的三位数只有132,264,396.
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