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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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Advent calendar 2025
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List of all puzzles
Tags
partitions
symmetry
bases
determinants
odd numbers
prime factors
surds
sets
polygons
averages
lists
tiling
geometric means
mean
numbers
folding tube maps
multiplication
people maths
triangle numbers
cards
dominos
clocks
shape
christmas
quadrilaterals
remainders
3d shapes
perimeter
consecutive numbers
axes
algebra
graphs
crosswords
polynomials
matrices
triangles
coins
elections
floors
dice
dates
sport
xor
albgebra
spheres
range
factorials
binary
parabolas
number
probability
ellipses
shapes
factors
hexagons
fractions
logic
palindromes
ave
probabilty
volume
integration
routes
wordplay
decahedra
angles
money
square roots
cryptic crossnumbers
star numbers
pentagons
taxicab geometry
cubics
speed
grids
area
circles
games
lines
consecutive integers
integers
regular shapes
division
doubling
colouring
digital clocks
rugby
irreducible numbers
time
prime numbers
rectangles
dodecagons
geometry
chocolate
advent
proportion
multiplaction squares
perfect numbers
2d shapes
square numbers
sums
combinatorics
addition
median
squares
sequences
digital products
chalkdust crossnumber
tangents
scales
unit fractions
coordinates
balancing
differentiation
sum to infinity
books
medians
digits
quadratics
tournaments
means
even numbers
cryptic clues
expansions
chess
functions
multiples
geometric mean
the only crossnumber
powers
calculus
crossnumbers
gerrymandering
percentages
products
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complex numbers
arrows
menace
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