The missing £ riddle......

[Foxholer]

Just look at the original £100 as an interest free loan. If I was waiting on work invoices to be paid and borrowed the same amount from the bank interest free it works the same way as long as the final person who is paid the amount owed is the person who owes me money then the circle is complete, I pay back the interest free loan and everyone is good.

It might be called 'Quantitative Easing'! Or even 'Social Credit'!

 

[Duckster]

Another one for you.
Say that
x = 0.99999999999999 recurring.
Multiply by 10,
10x = 9.9999999999999 recurruing.
Minus x from both sides, which we all know is 0.999999999999 recurring,
9x = 9
Divide both sides by 9.
X=1...........?

 

[Kellfire]

Another one for you.
Say that
x = 0.99999999999999 recurring.
Multiply by 10,
10x = 9.9999999999999 recurruing.
Minus x from both sides, which we all know is 0.999999999999 recurring,
9x = 9
Divide both sides by 9.
X=1...........?

0.9 recurring multipied by ten is not 9.9 recurring.

Anything multipled by ten has a 0 as its last digit. 9.999 recurring doesn't have that.

That means your equation doesn't work.

 

[Foxholer]

How about the Farmer who died leaving his specific instructions about how his (17) stud cattle should be divided between his 3 sons - exactly half to the eldest, exactly 1/3rd to the middle and exactly 1/9th to the youngest.

How did the sons divide them without killing any of them?!

 

[Duckster]

0.9 recurring multipied by ten is not 9.9 recurring.

Anything multipled by ten has a 0 as its last digit. 9.999 recurring doesn't have that.

That means your equation doesn't work.

Ahh spotted immediately!

 

[PIng]

How about the Farmer who died leaving his specific instructions about how his (17) stud cattle should be divided between his 3 sons - exactly half to the eldest, exactly 1/3rd to the middle and exactly 1/9th to the youngest.

How did the sons divide them without killing any of them?!

He borrowed a cow from his neighbour, making 18, gave half to one son (9), a third to another (6), and a ninth to the last one (2). He then gave the left over cow back to the other farmer.

This works because the original fractions ad up to 17/18 , not one.