There were originally twice as many boys as girls in my honors geometry class. after three new girls join the class. the total number of students is 24. how many boys and girls were originally in the class.

there were 14 boys and 7 girls in the class.

Step-by-step explanation:

Let x represent the number of boys in the class.

Let y represent the number of girls in the class.

There were originally twice as many boys as girls in my honors geometry class. It means that

x = 2y

After three new girls join the class. the total number of students is 24. It means that

x + y + 3 = 24

x + y = 24 - 3

x + y = 21- - - - - - - - - - - -1

Substituting x = 2y into equation 1, it becomes

2y + y = 21

3y = 21

y = 21/3

y = 7

x = 2y = 2 × 7

x = 14

step-by-step :