In a class of 60 where boys are twice that of girls, Ram ranked 17th from the top. If there are 9 boys ahead of Ram, how many girls are after him in the rank?
- A26
- B13
- C12
- D33
Solution & Step-by-step Explanation
Let the number of girls be and the number of boys be .
Given:
Thus, there are girls and boys in the class.
Ram's rank is from the top, which means there are students ranked ahead of him.
Out of these students, are boys.
Therefore, the number of girls ahead of Ram is:
Since Ram is a boy, he does not count toward the number of girls.
The number of girls ranked after Ram is the total number of girls minus the girls ahead of him:
Given:
Thus, there are girls and boys in the class.
Ram's rank is from the top, which means there are students ranked ahead of him.
Out of these students, are boys.
Therefore, the number of girls ahead of Ram is:
Since Ram is a boy, he does not count toward the number of girls.
The number of girls ranked after Ram is the total number of girls minus the girls ahead of him: