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GATE | GATE CS 2021 | Set 2 | Question 8

  • Last Updated : 23 May, 2021

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) 22
(B) 66
(C) 88
(D) 110


Answer: (C)

Explanation: According to given conditions,
3x+18 : 13x+18 : 6x+18 = 15 : 35 : 21

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On solving,
(3x+18) / (13x+18) = 15/35
105x + 630 = 195x + 270
195x – 105x = 630 – 270
90x = 360
x = 360/90 = 4

So total number of students in these three classes,
3*4 = 12
13*4 = 52
6*4 = 24
In total, 88 students are there.

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