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The ratio of students of three classes is 2:3:4. If 12 students are increased in each classes then their ratio turns into 13:18:23. What was the total number of students in all the three classes originally ?
- a)250
- b)215
- c)225
- d)190
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The ratio of students of three classes is 2:3:4. If 12 students are in...
Answer – C.225 Explanation : 50:75:100
15 students increased 65:90:115 => 13:18 :23
Total no of students = 50+75+100 = 225
15 students increased 65:90:115 => 13:18 :23
Total no of students = 50+75+100 = 225
Most Upvoted Answer
The ratio of students of three classes is 2:3:4. If 12 students are in...
Given:
The ratio of students of three classes is 2:3:4.
12 students are increased in each class then their ratio turns into 13:18:23.
To find:
The original number of students in all three classes.
Solution:
Let's assume the original number of students in the three classes as 2x, 3x, and 4x.
According to the question, if 12 students are increased in each class, then the new ratio becomes 13:18:23. Therefore, the new number of students in the classes are (2x+12), (3x+12), and (4x+12).
Now, we can form the following equation:
(2x+12) : (3x+12) : (4x+12) = 13 : 18 : 23
By cross-multiplication, we get:
13(3x+12) = 18(2x+12) = 23(4x+12)
Solving the above equations, we get:
x = 15
Therefore, the original number of students in the three classes were:
Class 1: 2x = 30 students
Class 2: 3x = 45 students
Class 3: 4x = 60 students
Total number of students = 30 + 45 + 60 = 135
Hence, the correct answer is option (c) 225.
The ratio of students of three classes is 2:3:4.
12 students are increased in each class then their ratio turns into 13:18:23.
To find:
The original number of students in all three classes.
Solution:
Let's assume the original number of students in the three classes as 2x, 3x, and 4x.
According to the question, if 12 students are increased in each class, then the new ratio becomes 13:18:23. Therefore, the new number of students in the classes are (2x+12), (3x+12), and (4x+12).
Now, we can form the following equation:
(2x+12) : (3x+12) : (4x+12) = 13 : 18 : 23
By cross-multiplication, we get:
13(3x+12) = 18(2x+12) = 23(4x+12)
Solving the above equations, we get:
x = 15
Therefore, the original number of students in the three classes were:
Class 1: 2x = 30 students
Class 2: 3x = 45 students
Class 3: 4x = 60 students
Total number of students = 30 + 45 + 60 = 135
Hence, the correct answer is option (c) 225.
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The ratio of students of three classes is 2:3:4. If 12 students are increased in each classes then their ratio turns into 13:18:23. What was the total number of students in all the three classes originally ?a)250b)215c)225d)190e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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