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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
Sunday Afternoon Maths LXVII
Coloured weights
Not Roman numerals
Advent calendar 2018
Sunday Afternoon Maths LXVI
Cryptic crossnumber #2
Sunday Afternoon Maths LXV
Cryptic crossnumber #1
Breaking Chocolate
Square and cube endings
List of all puzzles
Tags
algebra
cryptic crossnumbers
addition
ave
sequences
cards
books
shapes
calculus
symmetry
routes
doubling
chess
menace
floors
multiplication
averages
square roots
2d shapes
cryptic clues
clocks
cube numbers
perfect numbers
rectangles
arrows
palindromes
triangles
factorials
perimeter
spheres
shape
chalkdust crossnumber
circles
pascal's triangle
coins
multiples
scales
crossnumbers
means
partitions
balancing
crosswords
integration
complex numbers
sum to infinity
numbers
star numbers
speed
parabolas
functions
unit fractions
trigonometry
integers
christmas
volume
time
surds
logic
number
taxicab geometry
money
wordplay
fractions
percentages
lines
advent
factors
chocolate
dodecagons
sums
odd numbers
games
planes
division
quadratics
coordinates
sport
irreducible numbers
graphs
dice
folding tube maps
triangle numbers
colouring
prime numbers
probabilty
indices
3d shapes
remainders
probability
rugby
bases
dates
differentiation
area
proportion
hexagons
square numbers
mean
angles
ellipses
polygons
grids
digits
regular shapes
squares
people maths
geometry
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