Daily puzzles/problems.

[Scheherazade]

No, it is not 409.

It is a little more complicated than visual features of the numbers given.

[Silas Thorne]

It must be 708 then. The individual digits in the others all add up to 13, but this adds up to 15.

[Scheherazade]

It must be 708 then. The individual digits in the others all add up to 13, but this adds up to 15.

Correct!

[Silas Thorne]

Ah...I'll have to think of something then....I'll try not to be too long...

Got it! This is a fun one. Try to do this without an online search. It will be fun.

What English word is nine letters long, and can remain an English word at each step as you remove one letter at a time, right down to a single letter. List the letter you remove each time and the words that result at each step.

[Scheherazade]

What English word is nine letters long, and can remain an English word at each step as you remove one letter at a time, right down to a single letter. List the letter you remove each time and the words that result at each step?

I

in

sin

sing

sting

string

staring

starting

startling (9 letters)


I got stuck on the "a/an" path for a while.


Next:

A piggybank contains £7.37. It is made up of four different denominations of coins and the largest denomination is 50p. There is exactly the same number of each coin. How many of each coin is there and what are their values?

[Scheherazade]

Next:

A piggybank contains £7.37. It is made up of four different denominations of coins and the largest denomination is 50p. There is exactly the same number of each coin. How many of each coin is there and what are their values?

No takers?

[papayahed]

I have to find out the english coin denominations first.

[Scheherazade]

I have to find out the english coin denominations first.

Sorry about that!

1p, 2p, 5p, 10p, 20p, 50p, £1 and £2.

[billl]

Here's the coin denomination for British currency 1 2 5 10 20 50 (also, 25, I guess?).

I used brute force, and tried adding groups of four of these numbers and then dividing 737 by their sum. Finally, I got this:

737 divided by (50+10+5+2) = 11

So, the piggybank contains 11 each of 50p, 10p, 5p, and 2p coins. I stopped checking once I found this answer, so I can't say for sure if there's not another answer.

[Scheherazade]

(also, 25, I guess?).

No 25p here.

So, the piggybank contains 11 each of 50p, 10p, 5p, and 2p coins. I stopped checking once I found this answer, so I can't say for sure if there's not another answer.

11 is the answer I have got as well, Bill.

Your turn!

[billl]

A mother is three times as old as her twin daughters. Two years from now, the sum of their ages (all three ladies) will be 111. How old are they now?


EDIT: I SCREWED UP ON THE ORIGINAL POST (I accidentally used "One year from now." Sorry for any time wasted!)

[billl]

Note: There has been an edit to my previous post!

[MarkBastable]

They're currently 21 and 63.


(M + 2d + 6 = 111 and M = 3d, all of which resolves to 5d = 105. That was fun - I haven't done that sort of maths since Descartes was late home from school having lost his coordinates.)

[billl]

Your answer is correct, glad you liked it! Perhaps you can craft a puzzle out of the Cartesian confusion you've mentioned. Anyhow, I'm off the hook again.

[MarkBastable]

What connects Lewis Carroll, Edgar Allen Poe, Aldous Huxley, Tom Mix, Carl Gustav Jung and Tony Curtis?