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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 2024
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List of all puzzles
Tags
wordplay
polygons
albgebra
cryptic crossnumbers
addition
sequences
rugby
symmetry
indices
colouring
area
dodecagons
sums
christmas
numbers grids
powers
decahedra
star numbers
functions
pascal's triangle
numbers
balancing
digits
squares
range
unit fractions
speed
calculus
angles
geometric mean
cube numbers
polynomials
averages
integration
products
factorials
complex numbers
division
doubling
multiplication
crosswords
gerrymandering
determinants
sport
rectangles
planes
dice
volume
digital products
perfect numbers
pentagons
arrows
square numbers
ellipses
circles
geometry
tangents
median
parabolas
dates
chocolate
integers
quadrilaterals
menace
taxicab geometry
consecutive numbers
crossnumbers
expansions
people maths
coins
the only crossnumber
prime numbers
quadratics
advent
cryptic clues
binary
lines
consecutive integers
trigonometry
floors
ave
square roots
surds
logic
tournaments
partitions
books
spheres
folding tube maps
number
3d shapes
probabilty
neighbours
sets
triangle numbers
axes
fractions
remainders
regular shapes
grids
geometric means
graphs
routes
chalkdust crossnumber
factors
bases
multiples
coordinates
even numbers
matrices
irreducible numbers
chess
cards
sum to infinity
square grids
dominos
scales
differentiation
means
triangles
proportion
cubics
shapes
medians
algebra
combinatorics
clocks
percentages
shape
tiling
money
digital clocks
2d shapes
time
hexagons
odd numbers
palindromes
mean
elections
games
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probability
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