Of all the houses on Kermit Lane, 20 have front porches, 20 have front yards, and 40 have back yards. How many houses

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Of all the houses on Kermit Lane, 20 have front porches, 20 have front yards, and 40 have back yards. How many houses are on Kermit Lane?

(1) No house on Kermit Lane is without a back yard.
(2) Each house on Kermit Lane that has a front porch does not have a front yard.

[spoiler]OA=A[/spoiler]

Source: Manhattan GMAT
Source: — Data Sufficiency |