In ABC College, 65% of students are less than 20 years of age. The number of students more than 20 years of age is 2/3 of number of students of 20 years of age which is 42. What is the total number of students in the ABC College?

Question: In ABC College, 65% of students are less than 20 years of age. The number of students more than 20 years of age is 2/3 of number of students of 20 years of age which is 42. What is the total number of students in the ABC College?

Solution:
Let total number of students is x.
Then, number of students more than or equal to 20 years of age = (100 - 65)% of x = 35% of x.
As per the question,
35% of x = 42 + (2/3 of 42)
⇒ 35x/100 = 70.
⇒ x = (70 × 100)/35
∴ x = 200