Solutions: Horse themed algebra maths puzzle and Sequence Maths Puzzle

I did promise that I would provide some answers to the last two Friday Funny puzzles I posted:

So here are the solutions ….

Horse themed algebra maths puzzle

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 = ??

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

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?