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