a teacher's age is 6 years greater than 2 times a student's age.A principle's age is 10 years greater than 3 times the student's age if x represents the student''s age in years, which expression represents how many years older the prncipal is than the teacher?
The teacher's age can be represented as 2x + 6.
The principal's age can be represented as 3x + 10.
To find how many years older the principal is than the teacher, we subtract the teacher's age from the principal's age: (3x + 10) - (2x + 6).
Simplifying, we get 3x + 10 - 2x - 6 = x + 4.
Therefore, the expression x + 4 represents how many years older the principal is than the teacher.