There are 24 students in mr green's class. the number of boys and the number of girls are both prime numbers

THERE ARE TWO MORE BOYS THAN GILS HOW MANY BOYS AND HOW MANY GIRLS ARE IN THE CLASS

Let Y be the number of girls, X be the number of boys.
Then,
X = Y + 2 (equation 1 from your given "there are two more boys than girls")
X + Y = 24 (equation 2 from your given "there are 24 students in class")

Substituting equation 1 into 2,
(Y+2) + Y = 24
2Y + 2 = 24
2Y=22
Y=11 (There are 11 girls in the class.)

Now for the number of boys,
X=Y+2
Since Y=11,
X = 11 + 2
X = 13 (There are 13 boys in the class.)

13 boys and 11 girls! (:

13 and 11.

13 and 11