The number of students in 3 classes is in the ratio of 2 : 3 : 4. If 12 students are increased in each class, this ratio changes to 8 : 11 : 14. The total number of students in the three classes at the start was-

Question: The number of students in 3 classes is in the ratio of 2 : 3 : 4. If 12 students are increased in each class, this ratio changes to 8 : 11 : 14. The total number of students in the three classes at the start was-

Solution:
The number of students in 3 classes is in the ratio of 2 : 3 : 4.
Let the number of students in 3 classes be as follows 2x, 3x, 4x.
Total students = 9x.
According to the question, 2x + 12 : 3x + 12 : 4x + 12 = 8 : 11 : 14

Equating the ratio,
(2x + 12)/(3x + 12) = 8/11
→ 22x + 132 = 24x + 96
→ 2x = 36
→ x= 18

So, the total number of students in the three classes at the start was- 9 × 18 = 162.