Daily puzzles/problems.

A number with two digits is equal to five times the sum of its digits. If you add 9 to the number, the order of its digits is reversed. What is the number?

Quote:

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Originally Posted by billl

Actually, there is way in which a farmer could have doubled the area of his four-sided enclosure without the addition of any hurdles. If he had begun by enclosing the first 20 sheep with the enclosure's four sides in the shape of a parallelogram with corners set at 45 and 135 degrees, he could double the area of the enclosure simply by shifting the four sides into the shape of a rectangle (ie. setting all the corners at 90 degrees).

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Except that he didn't know when he bought the hurdles that he'd buy more sheep, so he'd have been unlikely to have arranged the hurdles in such a way that.... Actually I'm not sure we want to get into the possible motives and geometrical inventiveness of the fictional farmer...

Quote:

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Originally Posted by jajdude

a number with two digits is equal to five times the sum of its digits. If you add 9 to the number, the order of its digits is reversed. What is the number?

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45...

yeah, too easy.

It's an interesting one, and a little easy is a nice change of pace.

Quote:

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Originally Posted by billl

Actually, there is way in which a farmer could have doubled the area of his four-sided enclosure without the addition of any hurdles. If he had begun by enclosing the first 20 sheep with the enclosure's four sides in the shape of a parallelogram with corners set at 45 and 135 degrees, he could double the area of the enclosure simply by shifting the four sides into the shape of a rectangle (ie. setting all the corners at 90 degrees).

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Quote:

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Originally Posted by MarkBastable

Except that he didn't know when he bought the hurdles that he'd buy more sheep, so he'd have been unlikely to have arranged the hurdles in such a way that.... Actually I'm not sure we want to get into the possible motives and geometrical inventiveness of the fictional farmer...

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Whereas all the above is true, jajdude was able to find the sheep in amongst all that wool.

Mpe od yjr eomyrt pg pit fodvpnyrmy. ,sfr h;ptopid si,,rt nu yjod dpm pg Uptl/

smf s;; yjr v;pifd yjsy ;pit#f i[pm pit jpidr,

s jptdr" s jptdr"

(smf dp pm)

Shall we say this one's solved, in which case I'll give the solution - or would others like to have a go at it, although Mick'll be taken as the winner?

Here's my lame assent to Mick's victory:

http://www.youtube.com/watch?v=y_PZPpWTRTU

Yeah, alright.

Mpe od yjr eomyrt pg pit fodvpnyrmy. ,sfr h;ptopid si,,rt nu yjod dpm pg Uptl/
Now is the winter of our discontent, made glorious summer by this son of York.

Typed using the key to the right of the correct one on a standard QWERTY. Mick responded using the key to the left of the correct one.

next one Mick?

Its another one of these. BUT this time here are the rules.

Fill the empty squares with numbers that will make the across and down calculations produce the results shown along the bottom and far right. The numbers 1 -9 must appear once only. The calculations should be performed from top to bottom and from left to right (rather than strict mathematical order)


http://i85.photobucket.com/albums/k7...mathsquiz2.jpg

may be wrong