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
cards
cryptic clues
angles
prime numbers
integers
crosswords
digital products
quadratics
games
cubics
books
probabilty
expansions
parabolas
factorials
graphs
medians
triangle numbers
balancing
quadrilaterals
unit fractions
geometric means
calculus
christmas
means
squares
rugby
geometric mean
spheres
people maths
regular shapes
consecutive numbers
clocks
bases
even numbers
scales
gerrymandering
tiling
dominos
probability
perfect numbers
prime factors
perimeter
multiples
routes
remainders
cryptic crossnumbers
polygons
doubling
volume
chocolate
sport
3d shapes
the only crossnumber
advent
coordinates
pentagons
binary
sets
area
surds
speed
range
neighbours
dates
xor
square numbers
wordplay
geometry
lines
symmetry
tangents
lists
albgebra
division
rectangles
polynomials
folding tube maps
powers
square grids
dice
hexagons
crossnumbers
factors
planes
taxicab geometry
multiplaction squares
complex numbers
digital clocks
grids
triangles
colouring
axes
irreducible numbers
proportion
functions
mean
decahedra
integration
odd numbers
differentiation
pascal's triangle
fractions
time
chess
matrices
multiplication
consecutive integers
shapes
star numbers
determinants
chalkdust crossnumber
numbers
products
logic
ellipses
shape
percentages
dodecagons
indices
digits
sequences
square roots
combinatorics
median
2d shapes
arrows
averages
palindromes
tournaments
menace
circles
partitions
trigonometry
ave
algebra
sum to infinity
coins
money
cube numbers
sums
number
elections
floors
addition
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
the only crossnumber
perimeter
shape
3d shapes
advent
lists
mean
geometry
factors
clocks
lines
products
triangles
rectangles
digital products
chess
games
quadratics
addition
median
tournaments
regular shapes
odd numbers
factorials
money
complex numbers
tiling
polygons
calculus
arrows
coins
gerrymandering
pentagons
squares
colouring
ellipses
geometric means
scales
probabilty
numbers
triangle numbers
determinants
logic
sequences
wordplay
integration
prime numbers
partitions
books
neighbours
routes
axes
range
people maths
cryptic clues
planes
tangents
consecutive numbers
medians
taxicab geometry
cards
algebra
pascal's triangle
binary
spheres
means
multiplication
doubling
sets
christmas
elections
geometric mean
star numbers
surds
functions
albgebra
graphs
matrices
irreducible numbers
multiplaction squares
dominos
sport
cubics
probability
consecutive integers
even numbers
multiples
floors
symmetry
coordinates
sum to infinity
number
ave
quadrilaterals
prime factors
polynomials
bases
percentages
division
chocolate
proportion
sums
speed
digits
xor
grids
dice
2d shapes
integers
rugby
chalkdust crossnumber
square roots
differentiation
area
crosswords
unit fractions
shapes
cryptic crossnumbers
remainders
balancing
palindromes
cube numbers
dates
digital clocks
menace
decahedra
circles
dodecagons
powers
fractions
folding tube maps
square numbers
angles
volume
time
expansions
square grids
combinatorics
crossnumbers
indices
trigonometry
parabolas
perfect numbers
hexagons
averages
© Matthew Scroggs 2012–2026