Question

A teachers age is 6 years greater than 2 times a students age. A principals age is 10 years greater than 3 times the students age. If x represents the students age in years, which expression represents how many years older the principal is than the teacher?

Answer 1

Answer:

The principal is 5 years older than the teacher.

10+(x3)-6+(x2)

Answer 2

Answer:

The expression which represents the relation between the age of principal and teacher is $P-T=x+4$

And, principal is $x+4$ year older than teacher. Where, $x$ is the age of student.

Step-by-step explanation:

Given information:

The age of teacher $T=2x+6$

The age of Principal $P=3x+10$

Where, $x=$ the age of students.

From the above two equation the relation between the age of teacher and principal can be written as:

$P=3x+10$

$T=2x+6$

On subtracting , we get

$P-T=x+4$

Hence, The expression which represents the relation between the age of principal and teacher is $P-T=x+4$

And principal is $x+4$ year older than teacher. Where $x$ is the age of student.

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