Si n=(abb)
CA(abb)= (a+1)a(a+1)
(9-a)(9-b)(10-b))=(a+1)a(a+1)
Luego: comparando cifras
9-a=a+1
8=2a
(4=a)
9-b=a
9-b=4
(5=b)
Por lo tanto: n=(abb)=455
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Si n=(abb)
CA(abb)= (a+1)a(a+1)
(9-a)(9-b)(10-b))=(a+1)a(a+1)
Luego: comparando cifras
9-a=a+1
8=2a
(4=a)
9-b=a
9-b=4
(5=b)
Por lo tanto: n=(abb)=455