The following question consists of three statements I, II and III are given below. You have to decide whether the data provided in the statements are sufficient to answer the question.
What is the average age of 45 students studying while in a class?
I. The average age of boys is 15.4 years while the average age of girls is 14.6 years.
II. Boys and girls are respectively in the ratio is 4 : 5.
III. The number of boys is less than that of girls by 5.
(a) I and II only (b) I and III only (c) All I, II and III (d) I and either II and III
The following question consists of three statements I, II and III are given below. You have to decide whether the data provided in the statements are sufficient to answer the question.
What is the average age of 45 students studying while in a class?
I. The average age of boys is 15.4 years while the average age of girls is 14.6 years.
II. Boys and girls are respectively in the ratio is 4 : 5.
III. The number of boys is less than that of girls by 5.
(a) I and II only (b) I and III only (c) All I, II and III (d) I and either II and III
From I and II,
Let the number of boys and girls be and respectively.
Then,
So, the number of boys = 20; number of girls = 25.
Average age of students = yrs.
Thus, I and II together give the answer.
From I and III, we have
Let the number of boys=
Then,
So, the number of girls = 25, number of boys = 20.
As calculated above, required average = 14.96 yrs.
Thus I and II together also give the answer.