mscroggs
.co.uk
mscroggs
.co.uk
blog
puzzles
academic
talks
contact
subscribe
↓ ☰ ↓
subscribe
Loading image...
Advent calendar 2017
2 December
All 2017 advent puzzles
~
More information
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?
Show answer
Hide answer
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.
Tags:
numbers
Archive
Show me a random puzzle
Most recent collections
Advent calendar 2025
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
List of all puzzles
Tags
dice
the only crossnumber
proportion
square roots
coins
2d shapes
differentiation
albgebra
quadratics
powers
speed
geometry
balancing
cryptic clues
geometric means
cryptic crossnumbers
irreducible numbers
parabolas
lines
matrices
square numbers
pascal's triangle
volume
indices
division
probabilty
sport
clocks
sums
perimeter
square grids
digital products
area
calculus
multiplication
tangents
binary
planes
time
people maths
products
crossnumbers
graphs
mean
polygons
taxicab geometry
integration
shape
axes
range
symmetry
means
shapes
ave
routes
palindromes
partitions
triangle numbers
elections
gerrymandering
cubics
rugby
functions
rectangles
numbers
median
grids
chalkdust crossnumber
ellipses
xor
tournaments
3d shapes
prime numbers
tiling
regular shapes
hexagons
determinants
probability
geometric mean
doubling
complex numbers
dodecagons
factorials
angles
coordinates
cards
logic
star numbers
consecutive numbers
scales
bases
neighbours
squares
unit fractions
dominos
even numbers
books
perfect numbers
pentagons
sequences
floors
combinatorics
integers
multiples
dates
cube numbers
colouring
chocolate
circles
percentages
number
christmas
fractions
money
digits
wordplay
spheres
games
quadrilaterals
digital clocks
consecutive integers
trigonometry
odd numbers
arrows
folding tube maps
expansions
averages
triangles
sets
polynomials
decahedra
surds
prime factors
lists
menace
sum to infinity
medians
algebra
multiplaction squares
chess
factors
addition
crosswords
remainders
advent
Archive
Show me a random puzzle
▼ show ▼
▲ hide ▲
Most recent collections
Advent calendar 2025
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
List of all puzzles
Tags
cryptic clues
division
triangles
geometry
binary
mean
perfect numbers
integers
hexagons
cryptic crossnumbers
planes
cards
factors
regular shapes
geometric mean
area
digital clocks
differentiation
odd numbers
integration
means
menace
palindromes
symmetry
cubics
dates
digits
range
chocolate
rectangles
speed
multiples
ave
star numbers
elections
multiplaction squares
dodecagons
scales
indices
logic
even numbers
unit fractions
bases
ellipses
irreducible numbers
powers
floors
tangents
clocks
decahedra
shape
proportion
medians
quadrilaterals
doubling
surds
consecutive numbers
algebra
probabilty
crosswords
lines
neighbours
pentagons
rugby
sums
graphs
pascal's triangle
2d shapes
dominos
shapes
fractions
calculus
gerrymandering
probability
combinatorics
routes
matrices
polygons
sum to infinity
complex numbers
squares
wordplay
axes
spheres
prime factors
quadratics
volume
square numbers
digital products
percentages
albgebra
angles
circles
taxicab geometry
time
grids
numbers
dice
the only crossnumber
median
number
multiplication
prime numbers
addition
sets
square grids
chalkdust crossnumber
parabolas
christmas
arrows
consecutive integers
money
people maths
factorials
functions
perimeter
advent
trigonometry
sequences
tiling
lists
products
coins
crossnumbers
triangle numbers
chess
partitions
square roots
games
3d shapes
determinants
polynomials
averages
books
expansions
xor
balancing
coordinates
folding tube maps
tournaments
cube numbers
geometric means
colouring
remainders
sport
© Matthew Scroggs 2012–2026