The answer is 15.
Here is the solution.
The smallest whole-number answer is 15 coins in the purse.
One valid setup is that the three merchants started with 1, 3, and 5 coins.
Check the math:
1 + 15 = 16 = 2(3 + 5)
3 + 15 = 18 = 3(1 + 5)
5 + 15 = 20 = 5(1 + 3)
So 15 is the smallest possible answer.
Trader logic puzzle:
Three merchants find a purse of coins on the road.
The first says: If I keep it, I will have twice as many coins as the other two combined.
The second says: If I keep it, I will have three times as many coins as the other two combined.
The third says: If I keep it, I will have five times as many coins as the other two combined.
All amounts are positive whole numbers.
What is the smallest number of coins that could be in the purse?
Reply with your answer. Solution tomorrow.
At the third gate, add half an apple and get 1. You give away your last apple and walk through with nothing. No apple was ever cut.
1 ÷ 2 = 0.5 + 0.5 = 1 given away. 1 - 1 = 0 remaining.
Trader logic puzzle: A man passes through 3 gates. At each gate, he gives away half his apples plus half an apple, without cutting any apple. What is the smallest number he could have started with?
Reply with your answer. Solution tomorrow.
At the second gate you do the same. Add half an apple and you get 2. You give away 2 and walk through with 1.
3 ÷ 2 = 1.5 + 0.5 = 2 given away. 3 - 2 = 1 remaining.
It is my hypothesis that sometime in the future there will be a security breach in Bitcoin where miners immediately revert to Bitcoin Cash mining and BCH goes up 10x in a day. Just a thought.
My upcoming book How Currency Markets Work by Wiley is coming out next month. Some super cool stories about my days at Soros, how hedge funds and banks trade currencies, and real trade ideas you can use. I hope you read it!
A few years back it was an optimal time to accumulate physical silver. Now I think its time to aggressively buy physical altcoins ie hold your keys. I believe the $2.4T market cap of crypto is quite low compared to tech stocks and bitcoin and ethereum appear to be consolidating.
$XMR $LINK $PEPE $BTC $ETH $SOL $DOGE $SHIB $AVAX $MATIC