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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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cards
2d shapes
gerrymandering
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squares
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digital products
digits
menace
area
colouring
partitions
clocks
routes
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number
odd numbers
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digital clocks
determinants
unit fractions
dominos
crossnumbers
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medians
pentagons
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floors
3d shapes
doubling
factors
dodecagons
algebra
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perimeter
graphs
remainders
multiplication
time
functions
products
scales
tiling
averages
bases
means
neighbours
symmetry
quadrilaterals
coins
cube numbers
sum to infinity
numbers
prime factors
coordinates
elections
balancing
advent
cubics
integers
probabilty
even numbers
taxicab geometry
probability
triangles
wordplay
axes
consecutive numbers
pascal's triangle
hexagons
perfect numbers
polygons
cryptic clues
lists
trigonometry
percentages
multiples
speed
indices
parabolas
geometry
books
folding tube maps
sums
volume
rugby
logic
chess
dates
angles
chocolate
shape
addition
regular shapes
integration
factorials
square grids
grids
mean
polynomials
geometric mean
xor
decahedra
differentiation
chalkdust crossnumber
quadratics
consecutive integers
powers
surds
geometric means
square roots
proportion
spheres
lines
prime numbers
money
ellipses
planes
range
cryptic crossnumbers
multiplaction squares
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fractions
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calculus
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ave
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