Data Sufficiency

Of the N candies in a bag, some are peppermint and the rest are spearmint. What is the value of N?

1. If 1 peppermint candy were removed from the N candies, 1/5 of the remaining candies would be peppermint.

2. If 2 spearmint candies were removed from the N candies, 1/4 of the remaining candies would be peppermint.

statement(1) gives breakup of the two varieties in terms of N => alone not sufficient
statement(2) gives breakup of the two varieties in terms of N => alone not sufficient
But by relating the two statements, we can resolve for N
Answer "C"