### Brain Teasers

# Mad Ade's Bookshop Visit

When Mad Ade and his friend Barmy Bob visited the local Madadian bookstore, they took with them their nephews Crazy Carl and Dippy Derek.

They all purchased some books that cost a whole amount in Madadian Wonks.

When they leave the bookshop, they notice that both uncles have spent 21 Wonks more than their respective nephews. Moreover, each of them paid per book the same amount of Wonks as books that he bought.

The difference between the number of books between Mad Ade and Crazy Carl is five.

Who is the uncle of Dippy Derek?

They all purchased some books that cost a whole amount in Madadian Wonks.

When they leave the bookshop, they notice that both uncles have spent 21 Wonks more than their respective nephews. Moreover, each of them paid per book the same amount of Wonks as books that he bought.

The difference between the number of books between Mad Ade and Crazy Carl is five.

Who is the uncle of Dippy Derek?

### Answer

Mad Ade is Dippy Derek's uncle.Since each nephew pays "per book the same amount of Wonks as books that he bought," the number of Wonks each nephew paid is the square of the number of books he bought. Since each uncle spent 21 Wonks more than his nephew, the two scenarios are:

A) Uncle, 25w (5 books, 5w each)

B) Nephew, 4w (2 books, 2w each)

C) Uncle, 121w (11 books, 11w each)

D) Nephew, 100w (10 books, 10w each)

Since the difference between the number of books between Mad Ade and Crazy Carl is 5, and since Mad Ade is one of the uncles, Mad Ade bought 5 books (A) and Crazy Carl bought 10 books (D), which forces Dippy Derek into position B, as Mad Ade's nephew.

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