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