A, B, C, D and E all live on Pine street which has house number from 10 to 111, inclusive. Two of them live in the same house. The other all live in different houses. They all have made remarks about where they live, but not all remarks are true.
A said, " My house number is a factor of B's house number. E's house number is 10 greater than D."
B said, " My house number is greater than 70. A's house number is greater than 30."
C said," My house number is both a cube and a square. D's house number is greater than 50.
D said, " My house number is a square. B's house number is cube."
E said, " My house number is twice B's".
But who's telling the truth? It turns out that all statement made by the people living in the houses with numbers greater than 50 were false. All other statements were true.
Can you find out the house number of E?
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