Let the number of teachers in school District M = a
Let the number of students in School District M = b
Let the number of teachers in school District P = x
Let the number of students in school District P= y
a:b x:y => a/b = x/y
Target question => What is the ratio of the number of students in School District M to the number of students in School District P?
i.e from b:y =>b/y and from a/b =>x/y
ay = xb => a/b a/x = b/y
Statement 1 => There are 10,000 more in School District M than there are in School District P
i.e b = y + 10,000. The value of b and y is not given, statement 1 is NOT SUFFICIENT
Statement 2 => The ratio of the number of teachers to the number of students in School District M is 1 to 20
a:b = 1:20 => a/b = 1/20. There is no information about x and y, Statement 2 is NOT SUFFICIENT
Combining both statements together =>
From statement 1 => b = y + 10,000
From statement 2 => a:b = 1:20
If y = 1000, then b = 11,000 ; and b:y = 11,000:1000 = 11
If y = 2000, then b = 12,000 ; and b:y = 12,000:2000 = 6
The available information is not enough to arrive at a definite answer. Hence, both statements together ARE NOT SUFFICIENT
Answer = E