Privacy Policy  -  Terms & Conditions  -  See Details
This website uses cookies. By using this website you are accepting the use of cookies.
For more information please view the privacy policy.

BB Logo

Difficulty: MediumPuzzle Details

Puzzle Icon4 shepherds were watching over their flocks and they were commenting on how many sheep they each had.

If Alex had three more sheep, then they'd have one less sheep than Blake.

Whereas Drew has the same number as the other three shepherds put together.

If Charlie had three less sheep, they'd have exactly treble the number of Alex.

If they were evenly distributed they'd each have eleven sheep.

How man sheep does Alex have?

[Ref: ZIZG] © Kevin Stone

Show Hint Show Answer Print Puzzle
Direct Link: www.brainbashers.com?ZIZG

Answer: 3.

If we denote Alex by A, Blake by B, Charlie by C and Drew by D we can find the answer in the following way.

Since A + B + C = D and A + B + C + D = 44, it is easy to see that D has 22 sheep.

So A + B + C = 22.

We can use this along with the two other facts, A + 3 = B - 1 and C - 3 = 3A, to find that A has 3, B has 7, C has 12 and D has 22.

In a little more detail:

A + B + C = 22 (1)
A + 3 = B - 1 (2)
C - 3 = 3A (3)

Rearrange (3) to give C = 3A + 3 and replace the C in (1) to give A + B + 3A + 3 = 22.

Simplified this gives B = 19 - 4A (4).

Rearrange (2) to give B - A = 4.

Use (4) in the place of B to give 19 - 4A - A = 4 to give A = 3.

Now use A to work out B, and then C.

My Favourite Illusions

 Shadow Illusion
Are the squares A and B the same colour?

 Spinning Dancer
Which way is the dancer spinning?

 Impossible Waterfall?
Is the water flowing uphill in this impossible waterfall?

 The Butterfly
A colourful butterfly?

 Duck Or Rabbit?
Is this a duck or a rabbit?

 Hidden Faces
Can you find his three daughters as well?

 Blind Spot
An amazing demonstration of your blind spot.

 Impossible Prongs?
Impossible prongs?

 What Am I?
Can you tell what this is a picture of?

 Who Turned To?
Who is missing?

 Same Eyes?
Are her eyes the same colour?

 Parallel Cafe Wall Lines?
Are the horizontal lines parallel?




BrainBashers™ is a trademark. This website uses cookies. By using this website you are accepting the use of cookies. For more information please view the privacy policy. By using this website you are also agreeing to the terms and conditions.