WHAT GOES UP MUST COME DOWN IM FAR AWAY BUT ALWAYS IN TOWN ILL SEE YOU BE RIDDLES WITH ANSWERS TO SOLVE - PUZZLES & BRAIN TEASERS

A lemon. Its a citrus fruit whose juice is acidic and can be used to conduct electricity for motors. A car or other purchase that has problems is known as a lemon and can be expensive to repair. 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  

A fence 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  

The thief is the Pakistani guy. It is because the flag of Japan looks same when upside down and no one can tell if it is upside down. So, he was telling a lie. Did you answer this riddle correctly?
YES  NO  

A fart Did you answer this riddle correctly?
YES  NO  

A fart, of course! Did you answer this riddle correctly?
YES  NO  

A fart Did you answer this riddle correctly?
YES  NO  

A fart Did you answer this riddle correctly?
YES  NO  

A fart that goes through your pants without making a hole. Did you answer this riddle correctly?
YES  NO  

A fart Did you answer this riddle correctly?
YES  NO  

A fart Did you answer this riddle correctly?
YES  NO  

Question 1: (To any of the three gods) If I were to ask you "Is that the random god," would your answer be "ja?" (This questions, no matter the answer, will enable you to tell which god is not random i.e. the god who is either False or True)

Question 2: (To either the True or False god) If I asked you "are you false," would your answer be "ja?"

Question 3: (To the same god you asked the second question) If I asked you "whether the first god I spoke to is random," would your answer be "ja?" Did you answer this riddle correctly?
YES  NO  

Corn Did you answer this riddle correctly?
YES  NO  

3, 3, and 8. The only groups of 3 factors of 72 to have non-unique sums are 2 6 6 and 3 3 8 (with a sum of 14). The rest have unique sums:

2 + 2 + 18 = 22
2 + 3 + 12 = 18
2 + 4 + 9 = 15
3 + 4 + 6 = 13

The house number alone would have identified any of these groups. Since more information was required, we know the sum left the answer unknown. The presence of a single oldest child eliminates 2 6 6, leaving 3 3 8 as the only possible answer. Did you answer this riddle correctly?
YES  NO