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