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The number of students in 3 classes is 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
  • b)
    108
  • c)
    96
  • d)
    54
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The number of students in 3 classes is in the ratio 2 : 3 : 4. If 12 s...
Let the number of students in the classes be 2x, 3x and 4x respectively;
Total students = 2x + 3x + 4x = 9x
According to the question,

or, 24x + 96 = 22x + 132
or, 2x = 132 − 96 or,
x = 36/2 = 18
Hence,Original number of students,
9x = 9 × 18
= 162
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Most Upvoted Answer
The number of students in 3 classes is in the ratio 2 : 3 : 4. If 12 s...
Let the number of students in the classes be 2x, 3x and 4x respectively;
Total students = 2x + 3x + 4x = 9x
According to the question,

or, 24x + 96 = 22x + 132
or, 2x = 132 − 96 or,
x = 36/2 = 18
Hence,Original number of students,
9x = 9 × 18
= 162
Free Test
Community Answer
The number of students in 3 classes is in the ratio 2 : 3 : 4. If 12 s...
Let the number of students in the classes be 2x, 3x and 4x respectively;
Total students = 2x + 3x + 4x = 9x
According to the question,

or, 24x + 96 = 22x + 132
or, 2x = 132 − 96 or,
x = 36/2 = 18
Hence,Original number of students,
9x = 9 × 18
= 162
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