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