Question

a teacher is 4 times the age of her students 5 years hence she will be 3 times the student's age.what are the ages of the teacher and her students

Answer 1

Answer :

$\bold{Students \: age \: = \: 10 \: years}$

$\bold{Teacher \: age \: = \: 40 \: years}$


Explanation -


Let the age of the student is x

Teacher age will be 4x

After 5 years -

Students age = x + 5

Teachers age = 4x + 5

According to the given question -

4x + 5 = 3(x + 5)

4x + 5 = 3x + 15

4x - 3x = 15 - 5

X = 10


hence :

Students age is 10 years

Teacher age is 4x = 4(10) = 40 years .