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RRB Group-D Model Paper 11 with answers for online practice

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Question : 21

Total: 100

Two students appeared for an examination. One of them secured 22 marks more than the other and his marks were 55% of the sum of their marks. The marks obtained by them are _______.

121 and 99
43 and 21
58 and 36
86 and 64

Solution:

Let the students be A and B

Let the marks secured by B = x

⇒ Marks secured by A = x + 22

Sum of their marks = x + x + 22 = 2x + 22

Also, x + 22 = 55% of sum of marks

⇒ 0.55 × (2x + 22) = x + 22

⇒ 1.1x + 12.1 = x + 22

⇒ 0.1x = 9.9

∴ x = 9.9/0.1 = 99 marks

∴ Marks secured by B = 99 + 22 = 121 marks

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