Below, 10 nine-letter words have been broken into chunks of three letters.
The chunks have been moved around, no chunk is used twice, and all of the chunks are used.
Can you determine what the 10 words are?
rbr ent ard man tor rbo
and ban con erf dst dli
fly spa dra dif hai ght
per all fis ove ush hea
new gon fer wat her duc
Hints
The first letters of the words are: W, O, B, H, D, F, C, N, H, D.
Answers
wat + erf + all = waterfall
ove + rbo + ard = overboard
ban + dst + and = bandstand
hai + rbr + ush = hairbrush
dif + fer + ent = different
fis + her + man = fisherman
con + duc + tor = conductor
new + spa + per = newspaper
hea + dli + ght = headlight
dra + gon + fly = dragonfly
Reasoning
If we denote Alex by A, Billie by B, Charlie by C, and Drew by D and number the clues.
If Alex had three more sheep, then he'd have one fewer sheep than Billie.Whereas Drew has the same number as the other three shepherds put together.If Charlie had three fewer sheep, he'd have exactly three times the number of Alex.If they were evenly distributed, they'd each have eleven sheep.
By (4): A + B + C + D = 44
And, by (2), these are shared equally between A + B + C and D.
So D = 22, and A + B + C = 22 (*)
By (1): A + 3 = B − 1 A + 4 = B
By (3): C − 3 = 3A C = 3A + 3
Substitute B and C in (*):
A + (A + 4) + (3A + 3) = 22 5A + 7 = 22 5A = 15 A = 3
At the recent BrainBashers Championships, the 100 metres heats were closely observed.
Each contestant had to run in two races so that the average place could be determined.
Only one runner finished in the same place in both races.
Alex was never last. Chris always beat Dale. Billie had at least one first place. Alex finished third in at least one of the races. Both Dale and Chris had a second place.