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