X+(X- 1)+(X-2)+(X-3)+4Y = 10(X-2)+(X-3)
Y=(7X- 1)/4-4
Because both X and Y are numbers, X=3, Y= 1 or X=7, Y=8.
So, this phone number is1113210 or 88887654.
(2) Let the fifth digit be X, then the last three digits are X+ 1, X+2 and X+3 respectively, and the first four digits are the same. Let them be y, so there are
X+(X+ 1)+(X+2)+(X+3)+4Y = 10(X+2)+(X+3)
Y=4+(7X+ 1)/4 .
Because both X and Y are numbers, X= 1 and Y=6.
So, this phone number is 666 1234.
To sum up, Xiaoming's home number may be113210, 8887654 or 666 1234.
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