#130 Arithmagic

Deep in the jungle, the explorer Dr Quiverbone has chanced on a civilisation that has invented its own deletion arithmetic. In the example shown above, the first two rows added together give the third, while the fourth subtracted from the third produces the fifth.
The idea is to delete one digit from each row and close the gaps left behind to leave three columns of digits that still form a correct sum. Then repeat the process, erasing a second digit from each row to leave two columns, and finally a third to leave one column, closing the gaps to leave a correct sum after each deletion as before.
Which numbers should be deleted and in what order?
#129 Dungeons & Diagrams
Solution
There are four rooms with an odd number of doors: C, E, G and H. Since Bernie goes through each door only once, he must start and end in two of those rooms, and the other two must be connected by the secret door (making their total number of doors even). The only crate that joins two of those rooms is the one between C and H, so that must be the secret passage, and you start and end in G and E. Since we know he places the treasure chest next to a table, that must be in room E, so he starts in room G.
Editor鈥檚 note: Puzzle 127 Brahms and Liszt had more than one solution. Apologies for any confusion
Quick quiz #118
1 What is a mutual, symbiotic association between a fungus and a plant called?
2 Which constellation is known for its distinctive 鈥淲鈥 shape?
3 How many chemical elements are named after people?
4 What is the principle energy-carrying molecule in cells?
5 Which of these points isn鈥檛 found in the Mariana trench: Challenger Deep, Horizon Deep or Sirena Deep?
Answers on page 55
Answers
1 A mycorrhiza
2 Cassiopeia
3 Nineteen
4 Adenosine triphosphate (ATP)
5 Horizon Deep. It is the second-deepest point on Earth and is found in the Tonga trench in the Pacific Ocean