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