Ateacher is four times as old as a student. in 24 years, the student's age will be half of the teacher's age. how old are they now?
the age of the teacher is
years.

Student is 12 now, teacher is 48

Step-by-step explanation:

Let s be students current age

Let t be teachers current age

Currently:

4s = t

In 24 Years:

2(s+24)=t+24

2s+48=4s+24

2s=24

s=12 The student is 12 now

t=48 The teacher is 48 now

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

answer: the answer is ann