HARD RIIDLES RIDDL RI RIDDLES WITH ANSWERS TO SOLVE - PUZZLES & BRAIN TEASERS

Light both ends of one rope, and only one end of the other rope. This will cause the first rope to burn out in 30 minutes. When the first rope burns out, there will be 30 minutes left on the second rope. So then, light the other end of the second rope, and the rest of it will burn out in 15 minutes. 30 + 15 = 45 minutes. Did you answer this riddle correctly?
YES  NO  

Add a line to make the first + a 4 545+5=550 Did you answer this riddle correctly?
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The $9 paid by each guest accounts for the $2 that went to the bellhop. So rather than adding $27 to the $2 kept by the bellhop, the $27 accounts for the bellhops money. The $27 plus the $3 kept by the guests does add up to $30. Did you answer this riddle correctly?
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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  

50 lbs. Did you answer this riddle correctly?
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Solution 1: Use two cuts to divide the cake into four equal pieces (quarters). For the third cut, cut the cake in half, horizontally. Some pieces may not have any icing, but their size will be equal.

Solution 2: As in the first solution, use two cuts to divide the cake into four equal pieces (quarters). Then, stack the four pieces on top of each other and use a third cut to cut all four pieces in two. Did you answer this riddle correctly?
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This.

If 'this' is a coconut, and 'that' is a coconut, then 'is' 'this' a coconut. Did you answer this riddle correctly?
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Because they never 'work' Did you answer this riddle correctly?
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An umbrella. Did you answer this riddle correctly?
YES  NO  

Just to reiterate the hint, if you knock down a single pin, for example at the far left of the back row, then repeat the same identical shot on your second throw, you'll score 0 points for your second throw (because there's no pin there anymore), but it's not a gutter ball as the shot did not enter the gutter. Did you answer this riddle correctly?
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By making mashed potatoes Did you answer this riddle correctly?
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99 Red balloons 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?
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Water Did you answer this riddle correctly?
YES  NO  

Both trains would be at the same spot when they meet therefore they are both equally close to Halifax. Did you answer this riddle correctly?
YES  NO