1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The number of students in three classes are in the ratio 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 in the beginning was

A
162
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
108
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
96
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
153
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 162Let the number of students in the classes be 2x,3x and 4x respectively. Then, total students =2x+3x+4x=9x According to the question, 2x+123x+12=811 ⇒11x+66=12x+48 ⇒x=18 ∴ Total number of students in the three classes in the beginning =9×18=162

Suggest Corrections
37
Join BYJU'S Learning Program
Related Videos
Solving Linear Equations Using Transpose of Terms
MATHEMATICS
Watch in App
Join BYJU'S Learning Program