I IM A HOLIDAY KNOWN AS THE FESTIVAL OF LIGHTS RIDDLES WITH ANSWERS TO SOLVE - PUZZLES & BRAIN TEASERS

'HNY everyone' Did you answer this riddle correctly?
YES  NO  

Rosh Hashanah is the beginning of the New Year for members of the Jewish religion. The Hebrew translation means "Beginning of Year". Did you answer this riddle correctly?
YES  NO  

StocKING Did you answer this riddle correctly?
YES  NO  

One lasts for eight nights, the other simply ate knights! Did you answer this riddle correctly?
YES  NO  

I have a little dribble! (Dreidel) Did you answer this riddle correctly?
YES  NO  

A latke hugs and kisses! Did you answer this riddle correctly?
YES  NO  

Happy Challah-days! Did you answer this riddle correctly?
YES  NO  

Shamash Did you answer this riddle correctly?
YES  NO  

I am a gift. Did you answer this riddle correctly?
YES  NO  

Elves Did you answer this riddle correctly?
YES  NO  

Wreath Did you answer this riddle correctly?
YES  NO  

Current Future Past

Princess x 2z (x+y)/2
Prince y x z

I then created three equations, since the difference in their age will always be the same.

d = the difference in ages

x y = d
2z x = d
x/2 + y/2 z = d

I then created a matrix and solved it using row reduction.

x y z

1 -1 0 d
-1 0 2 d
.5 .5 -1 d

It reduced to:

x y z

1 0 0 4d
0 1 0 3d
0 0 1 5d/2

This means that you can pick any difference you want (an even one presumably because you want integer ages).

Princess age: 4d
Prince age: 3d

Ages that work

Princess:
4
8
16
24
32
40
48
56
64
72
80

Prince:
3
6
12
18
24
30
36
42
48
54
60 Did you answer this riddle correctly?
YES  NO  

Repeat...Pete and repeat went fishing. Pete fell of the boat. Who was left? (keeps continuing because you are saying repeat) Did you answer this riddle correctly?
YES  NO  

As little as possible, just like every day! Did you answer this riddle correctly?
YES  NO  

Bells! Did you answer this riddle correctly?
YES  NO