[OK]

See Details
Privacy Policy + T&C

We use cookies to personalise content and adverts. We also share information about your use of our site with our advertising partners who may combine it with other information you’ve provided to them or they’ve collected from your use of their services. You also agree to our terms and conditions (T&C).

BB Logo
Spacer
Line
Line

Puzzle - Answer

FishA trout's tail weighs eight pounds.

Its head weighs as much as the tail and one-half of the body combined, and the body weighs as much as the head and tail combined.

What does the whole trout weigh?

 [Ref: ZKSK] © Kevin Stone

Answer: 64 pounds.

The head weighs 24 pounds, the body weighs 32 pounds and the tail weighs 8 pounds.

The trout is made up of the head, body and tail, H, B and T.

We are told that:

   T = 8

   H = T + B ÷ 2                (1)

   B = H + T                    (2)

Placing T into (1) and (2) we get:

   H = 8 + B ÷ 2                (3)

   B = H + 8                    (4)

Using (4) in (3) we get:

   H = 8 + B ÷ 2

   H = 8 + (H + 8) ÷ 2          (5)

Multiplying (5) by 2 we get:

  2H = 16 + H + 8

  2H = 24 + H

   H = 24

Therefore, by (2):

   B = H + T

   B = 24 + 8

   B = 32

Giving:

   H = 24
   B = 32
   T = 8

And a total of 24 + 32 + 8 = 64 pounds. QED.

Back to the puzzles...


Our Favourite Illusions

 Shadow Illusion

 What Am I?

 Hidden Faces

 Impossible Waterfall?

 Same Eyes?

 Impossible Prongs?

 Duck Or Rabbit?

 Spinning Dancer

 Who Turned To?

 Blind Spot

 The Butterfly

 Parallel Cafe Wall Lines?

 

 



BrainBashers™ is a trademark. We use cookies to personalise content and adverts. We also share information about your use of our site with our advertising partners who may combine it with other information you’ve provided to them or they’ve collected from your use of their services. For more information please view our privacy policy. By using the site you also agree to our terms and conditions.

[Added September 1997]

Line
Line