The scene
Neighbourhood Auction · Envelope tableA twenty-euro voucher is missing from an auction. One of three people put it in their envelope. A check confirmed that the voucher’s value exactly matched that envelope’s bid.
The envelopes are sealed and the individual amounts were erased from the summary. The total and two relationships between the bids remain: enough to recover the figures.
What we know for certain
One of these people has the voucher in their own envelope. The three bids are positive amounts and add up to the stated total. The relationships are exact. There were no exchanges, additional money or other envelopes. The task is to locate the voucher, without attributing intent.
The three accounts
Aroa Ferrer
Bookseller«My bid was twice Biel’s.»
Biel Mas
Ceramicist«I did not make the highest offer.»
Cloe Vidal
Illustrator«My amount was higher than Aroa’s.»
Examine the evidence
0 of 5 openedOpening these five clues does not cost points.
01The verified sum
The three bids add up to exactly 55 euros. The total does not include fees or other participants.
02Aroa’s relationship
The organisers confirm that Aroa’s amount was exactly twice Biel’s.
03Cloe’s relationship
Cloe’s amount was five euros higher than Aroa’s. That difference did not depend on the total.
04The stored voucher
The missing voucher is worth 20 euros. It cannot be divided or topped up with coins.
05The envelope check
The check verified that the bid in the envelope receiving the voucher exactly matched its value. The envelopes retained their original owners.