The worlds first riddle!

112/2016 = 224/4032

Fortunately for you, you double-counted in the numerator AND denominator.


[size=8]hard to understand
clear up after you[/size]

"Fortunately for you, you double-counted in the numerator AND denominator."


What a stroke of luck, it was the Terminator I was afraid of.


Knee
Lights


.That is

[size=8]neon lights[/size]

[size=8]SQUARE/OCTAGON
Let x be the length of a side of the octagon.
x = sqrt(2) * (2 - x) / 2
x = 2 * (sqrt(2) - 1)
x = .8284 (approximately)[/size]

Mark:

Knee
Lights = neon lights


SQUARE/OCTAGON
Let x be the length of a side of the octagon.
x = sqrt(2) * (2 - x) / 2
x = 2 * (sqrt(2) - 1)
x = .8284 (approximately)


I went this way;
The side of the square is 2.
Let a length 'c' be cut from the two ends of a side.
We have right angled triangles of sides 'c'.
The hypotenuse would be h² = 2c²
or h = (√2)c

Since it is a regular octagon.
2 - 2c = (√2)c
c = 2/(2+√2)

h is the side of the octagon,
h = 2 (√2)/(2+√2)
or h = 2/(1+√2)



A woman and her grandson have the same birthday. For six consecutive birthdays, she is an integral multiple of his age. How old is the grandmother on the sixth of these birthdays



Busines


FLIGHTFLIGHT

[size=8]GRANDMA
66

unfinished business[/size]

Mark:

GRANDMA
66

The ages of the grandmother and the grandson would be (61,1), (62,2), (63,3), (64,4), (65,5), and (66,6).


Busines
unfinished business




Costdivenothing



SSEERLVINFG AREA



In a 4-digit number, the sum of the first two digits is equal to that
of the last two digits. The sum of the first and last digits is equal to the third digit. Finally, the sum of the second and fourth digits is twice the sum of the other two digits.

What is the third digit of the number

[size=8]4-DIGIT NUMBER
5
The number is 1854[/size]

This is a modified version of something I saw elsewhere:

Three identical, empty open-top containers (C1, C2, C3) are outside.

- At 0 minutes, a steady rain begins and starts filling the containers at R liters per minute.

- Seven minutes later, Try starts emptying C1 and empties it at rate of T liters per minute.

- As soon as C1 is empty (instantaneously), Try starts emptying C2 and empties it in 42 minutes.

- Then Try starts emptying C3. At that point, the rate of the rainfall doubles to 2R liters per minute, and Try doubles his speed to 2T liters per minute. Try empties C3, but before he does, the rain stops.

- Try goes back to C1, then to C2, emptying them at the original rate of T liters per minute in 44 minutes.

At what minute does Try finish emptying C3?

This is a singing telegram service to anyone who has a birthday anniversary today:





Have a great day!




Mark:

4-DIGIT NUMBER
5
The number is 1854


When you get one number eight times the other, the numbers would have to be 1 and 8, as each number a,b,c, and d is a single digit number! 1854


Mark, you post another amazing problem, which I doubt I have the wherewithal to solve. However, given enough time I will a produce a realistic if wrong answer.



In the meantime; What is the area of the largest triangle that can be fitted into a rectangle of length 'l' units and width 'w' units


.That is


FLIGHTFLIGHT

[size=8]TRIANGLE
l*w/2


connecting flights?[/size]

Mark:


TRIANGLE
l*w/2 /


Any triangle you try to draw with the maximum area would have same base and height. The solution is, without doubt, lw/2. You can try all possibilities. You would get the same answer, both when the base is 'l' and 'w'.


FLIGHTFLIGHT
connecting flights




Use each digit 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 exactly once to form two five-digit numbers that when multiplied produce the largest quantity

97531x86420?

Welcome to the forum Golf97, especially as your answer won me ten bucks. You would think that 97531 x 86420 would be the highest product but no, there is one better.


These are questions few dare attempt, if they appeal to you, I urge you to check out the latest from Markr, reproduced below, it will become a classic (I admit my attempts to date do not make sense).


"Three identical, empty open-top containers (C1, C2, C3) are outside.

- At 0 minutes, a steady rain begins and starts filling the containers at R liters per minute.

- Seven minutes later, Try starts emptying C1 and empties it at rate of T liters per minute.

- As soon as C1 is empty (instantaneously), Try starts emptying C2 and empties it in 42 minutes.

- Then Try starts emptying C3. At that point, the rate of the rainfall doubles to 2R liters per minute, and Try doubles his speed to 2T liters per minute. Try empties C3, but before he does, the rain stops.

- Try goes back to C1, then to C2, emptying them at the original rate of T liters per minute in 44 minutes.

At what minute does Try finish emptying C3?"




A sample of x litres from a container having a 60 litre mixture of milk and water containing milk and water in the ratio of 2 : 3 is replaced with pure milk so that the container will have milk and water in equal proportions.

What is the value of x

Did anyone come up with an answer for this yet?


trlanoslastiton

"lost in translation"

Damn, Rhymer you are good. You may not be so quick this time!


WALTZ
TANGO
SAMBO

The quick look just led me a dance !!

ta for the rule reminder.
I'll read page ones in future!