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Advent calendar 2017
2 December
All 2017 advent puzzles
~
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There are three cards; one number is written on each card. You are told that the sums of pairs of cards are 99, 83 and 102. What is the sum of all three cards?
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Adding up all three sums of pairs (284) will give twice the sum of the three numbers. So the sum of the three numbers is 142.
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powers
decahedra
pentagons
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money
lists
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christmas
colouring
binary
percentages
factors
mean
symmetry
median
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ave
cryptic clues
ellipses
fractions
hexagons
trigonometry
tournaments
consecutive integers
partitions
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regular shapes
digital clocks
chocolate
rectangles
odd numbers
irreducible numbers
division
quadrilaterals
multiplaction squares
surds
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indices
doubling
star numbers
chalkdust crossnumber
integers
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the only crossnumber
3d shapes
determinants
probabilty
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spheres
xor
range
floors
dodecagons
folding tube maps
grids
2d shapes
dice
graphs
dominos
digits
consecutive numbers
elections
albgebra
coordinates
menace
scales
square numbers
prime numbers
parabolas
speed
rugby
crossnumbers
advent
probability
angles
shape
tangents
remainders
sum to infinity
people maths
quadratics
axes
unit fractions
perfect numbers
functions
planes
dates
sets
cryptic crossnumbers
geometry
lines
averages
polynomials
even numbers
chess
tiling
sequences
volume
sport
square roots
cubics
gerrymandering
products
geometric mean
calculus
neighbours
means
proportion
factorials
circles
number
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pascal's triangle
cube numbers
bases
time
perimeter
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