Solutions: Horse themed algebra maths puzzle and Sequence Maths Puzzle


David Meego - Click for blog homepageI did promise that I would provide some answers to the last two Friday Funny puzzles I posted:

If you have not yet attempted the puzzles, click on the links above and answer the polls before reading the rest of this article.

So here are the solutions ….

Horse themed algebra maths puzzle

horsepuzzle

This one is just algebra. Let’s assign some letters:

H = Horse, B = Boot, S = Shoe

H + H + H = 30
Add H’s together: 3H = 30
Divide both sides by 3: H = 10

H + 2S + 2S = 18
Substitute H: 10 + 2S + 2S = 18
Add S’s together: 10 + 4S = 18
Subtract 10 from both sides: 4S = 8
Divide both sides by 4: S = 2

2S – 2B = 2
Substitute S’s: 2×2 – 2B = 2
Evaluate: 4 – 2B = 2
Subtract 4 from both sides: -2B = -2
Divide both sides by -2: B = 1

B + H x S = ??
Substitute values: 1 + 10 x 2 = ??
Multiply first: 1 + 20 = ??
Addition: 21 = ??

Answer is 21. Did you get it?

Looking at the poll on the original post, most people did not get the correct answer with only 21% selecting the answer as 21. A common mistake here is not to notice that there are 2 boots or 2 horseshoes in some of the equations.

 

Sequence Maths Puzzle

sequencepuzzle

This one is a bit more confusing as there are actually two sequences which can work:

Sequence One: A + B = Sum + Previous Answer = Answer

1 + 4 = 5 + 0 = 5
2 + 5 = 7 + 5 = 12
3 + 6 = 9 + 12 = 21
8 + 11 = 19 + 21 = 40

Sequence One gives the answer as 40.

Sequence Two: A + B = A x (B+1) = Answer

1 + 4 = 1 x (4+1) = 1 x 5 = 5
2 + 5 = 2 x (5+1) = 2 x 6 = 12
3 + 6 = 3 x (6+1) = 3 x 7 = 21
8 + 11 = 8 x (11+1) = 8 x 12 = 96

Sequence Two gives the answer as 96.

So did you get 40 or 96? I originally saw the more complex 96 solution, but later also saw the 40 solution. Based on the poll 63% of people got 40 and only 31% got 96. Did you see both solutions?

Post your thoughts as comments…

David

This article was originally posted on http://www.winthropdc.com/blog.

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