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