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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
Advent calendar 2020
List of all puzzles
Tags
bases
albgebra
perfect numbers
rectangles
elections
even numbers
chalkdust crossnumber
cryptic crossnumbers
rugby
area
sport
shapes
crossnumber
partitions
triangles
perimeter
3d shapes
mean
geometric means
spheres
doubling
angles
people maths
volume
gerrymandering
number
sums
time
dates
expansions
shape
cards
crossnumbers
digital clocks
logic
complex numbers
regular shapes
averages
planes
ave
square roots
axes
grids
graphs
games
advent
scales
fractions
triangle numbers
differentiation
tangents
combinatorics
hexagons
dodecagons
surds
sum to infinity
means
proportion
median
parabolas
cubics
colouring
chess
books
taxicab geometry
pascal's triangle
factors
tournaments
remainders
geometry
probability
division
calculus
ellipses
consecutive integers
integers
arrows
balancing
routes
matrices
cube numbers
symmetry
polynomials
functions
indices
clocks
chocolate
probabilty
coordinates
wordplay
star numbers
factorials
dice
crosswords
lines
coins
algebra
digital products
2d shapes
multiples
addition
squares
palindromes
sequences
speed
odd numbers
digits
menace
decahedra
floors
trigonometry
dominos
numbers
sets
products
geometric mean
folding tube maps
money
percentages
circles
cryptic clues
multiplication
range
integration
unit fractions
the only crossnumber
square numbers
prime numbers
christmas
quadrilaterals
consecutive numbers
pentagons
irreducible numbers
tiling
binary
quadratics
determinants
polygons
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