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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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Most recent collections
Advent calendar 2023
Advent calendar 2022
Advent calendar 2021
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List of all puzzles
Tags
triangles
perimeter
chocolate
combinatorics
lines
even numbers
hexagons
parabolas
sport
numbers
cryptic crossnumbers
clocks
games
wordplay
people maths
square numbers
tangents
tiling
tournaments
perfect numbers
binary
symmetry
prime numbers
area
3d shapes
median
integration
matrices
probability
partitions
menace
digital clocks
polygons
means
rectangles
cube numbers
complex numbers
colouring
surds
odd numbers
floors
angles
geometric mean
calculus
cubics
advent
volume
books
coordinates
time
addition
dates
algebra
shapes
geometric means
bases
dodecagons
quadratics
averages
dice
christmas
mean
division
planes
balancing
number
grids
consecutive integers
range
circles
logic
integers
pentagons
doubling
remainders
cards
2d shapes
consecutive numbers
percentages
functions
sums
products
square roots
chess
rugby
fractions
taxicab geometry
speed
dominos
indices
gerrymandering
polynomials
probabilty
ellipses
the only crossnumber
trigonometry
sequences
crossnumber
ave
spheres
palindromes
routes
shape
multiplication
graphs
determinants
cryptic clues
factorials
crosswords
axes
regular shapes
differentiation
chalkdust crossnumber
star numbers
quadrilaterals
coins
squares
sum to infinity
crossnumbers
multiples
expansions
elections
sets
digital products
digits
factors
decahedra
scales
albgebra
geometry
irreducible numbers
unit fractions
folding tube maps
money
pascal's triangle
triangle numbers
proportion
arrows
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