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The pharaoh’s outfitters, ‘Cloaks and Crowns’,sell cloaks and crowns in 3 sizes –prince, king and emperor (in increasing size order). He wants to kit out his three sons for the forthcoming festival of Ra. Ahmosechooses a bigger cloak thanKamose, but a smaller crown than Thutmose. Both Thutmose’scloak and crown are larger than Kamose’s,but the size of Thutmose’s crown matches the size of Kamose’s cloak. Which sizes did the pharaoh’s sons each get?

2 Answers

7 votes

Let's denote the sizes of the cloaks and crowns as follows:

  • Prince cloak size = P
  • King cloak size = K
  • Emperor cloak size = E
  • Prince crown size = p
  • King crown size = k
  • Emperor crown size = e

From the given information, we can deduce the following:

  1. Ahmose's cloak size is larger than Kamose's cloak size.
  2. Ahmose's crown size is smaller than Thutmose's crown size.
  3. Thutmose's cloak size and crown size are both larger than Kamose's.
  4. Thutmose's crown size matches Kamose's cloak size.

Let's use these deductions to solve for each son's sizes:

  • From deduction 1, we know that Kamose's cloak size must be P since it is the smallest size available.
  • From deduction 2, we know that Thutmose's crown size must be e since it is the largest size available and Ahmose's crown size is smaller than his.
  • From deduction 3, we know that Thutmose's cloak size must be E since it is the largest size available and both his cloak and crown are larger than Kamose's.
  • From deduction 4, we know that Kamose's cloak size is the same as Thutmose's crown size, which we just determined to be e.

Therefore, the sizes of the pharaoh's sons are:

  • Kamose: cloak size = P, crown size = e
  • Ahmose: cloak size = K, crown size = p
  • Thutmose: cloak size = E, crown size = e


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User Michio
by
7.0k points
3 votes

Ahmose - Cloak = king

Crown = prince

Kamose - Cloak = prince

Crown = emperor

Thutmose - Cloak = emperor

Crown = king

I think it's the answer. Byeeeeee

User Chris Barry
by
7.2k points