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In a group of friends travelling in a train, 8 friends can read French book, 18 can read Spanish book and 9 can read Russian book. In that group, none can read any other language book. If 2 friends in the group can read two languages book and one friend can read all the three languages book, then how many friends are there in the group ?

In a group of friends travelling in a train, 8 friends can read French book, 18 can read Spanish book and 9 can read Russian book. In that group, none can read any other language book. If 2 friends in the group can read two languages book and one friend can read all the three languages book, then how many friends are there in the group ? Correct Answer 31

Given:

8 friends can read French book, 18 can read Spanish book and 9 can read Russian book.

2 friends in the group can read two languages book and one friend can read all the three languages book

Calculation:

Let us assume the two friends who can read two languages book speak Spanish and French.

The third friends then read all the three languages book.

Number of friends who can read French book = 8.

Only read French book = 8 – 2 – 1

⇒ 5

Number of friends who can read Spanish book = 18.

Only read Spanish book = 18 – 2 – 1

⇒ 15

Number of friends who can read Russian book is 9.

Only read Russian book = 9 – 1

⇒  8

Thus the number of friends who can read only one language book

⇒ 5 + 15 + 8

⇒ 28

Number of Friends who can read two languages book = 2

Number of friends who can read all the languages = 1

Total number of friends

⇒ 28 + 2 + 1.

⇒ 31

∴ There are in the group 31 friends.

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