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