October 12, 2023
October 12, 2023
October 12, 2023
###### Algorithms
October 12, 2023
 Question 5
The number of students in three classes is in the ratio 3:13:6. If 18 students are added to each class, the ratio changes to 15:35:21.

The total number of students in all the three classes in the beginning was:

 A 66 B 22 C 88 D 110
Question 5 Explanation:

Given Initial ratio : 3:13:6

Total number of students initially = 3x+13x+6x = 22x

From the given question, we can write 3x+18 = 15y —–I

13x+18 = 35y—–II

6x+18 = 21y——III

I – II => -10X = -20Y

X=2Y——IV

Put IV in III => 6(2y) + 18 = 21y

12y + 18 = 21y

9y = 18

y = 2 —–V

Substitute V in I => 3x + 18 = 30

3x = 12

x = 4

Number of initial students = 22x = 22(4) = 88

Question 5 Explanation:

Given Initial ratio : 3:13:6

Total number of students initially = 3x+13x+6x = 22x

From the given question, we can write 3x+18 = 15y —–I

13x+18 = 35y—–II

6x+18 = 21y——III

I – II => -10X = -20Y

X=2Y——IV

Put IV in III => 6(2y) + 18 = 21y

12y + 18 = 21y

9y = 18

y = 2 —–V

Substitute V in I => 3x + 18 = 30

3x = 12

x = 4

Number of initial students = 22x = 22(4) = 88

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