The Riddle is for you to solve they came in groups of five, The Birds and the bush began to burn, From school he televised, Nicholas trapped inside himself, you must find the light, Over the bathtub the siblings burnt, Thus began the global fight

This is part 11 of the puzzle series that started at Living the traveller's dream. Each part is solvable on its own. Dear Puzzling, Don’t ask me how or why, but this week I have ended up at almost the exact same place as I was a few weeks ago. Let’s just say that some places are worth visiting...

Inspired by this brilliant puzzle by @DmitryKamenetsky! Much to the annoyance of the guards, the sly prisoners bribed a guard and learnt about the number in the envelope in advance, and the first prisoner was able to "guess" the correct number! The guards had no choice but to release them all. On...

Adding single digits 1 to 9, the result is 45 and their product is 362880. Are there any other 9 single digits with sum 45 and product 362880?

I have the following set: x1 x2 x3 Nx 30 50 20 83 30 20 50 79 45 15 40 74 65 35 45 72 50 20 30 77 55 25 30 79 $$f_1(x_1) + f_2(x_2) + f_3(x_3) = N_x$$ Nx Max = 100, Min = 0 or 50 Goal: Nx = 100 (what are x1, x2, x3 when Nx = 100?) $$x_1 , x_2 , x_3$$ range 0 to 100, they are...