# The Tests

**Number Theory**Level 4

To pass a certain test, 65 out of 100 is needed. The class average is 66. The average score of the students who pass the test is 71, and the average score of the students who fail the test is 56. It is decided to add 5 to every score, so that a few more students pass the test. Now the average score of the students who pass the test is 75, and the average score of the students who fail the test is 59. The number of students is between 15 and 30.How many students pass WITHOUT the 5 point addition?