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 2024
Advent calendar 2023
Advent calendar 2022
Advent calendar 2021
List of all puzzles
Tags
square grids
time
addition
integers
floors
dates
planes
decahedra
irreducible numbers
expansions
books
determinants
cryptic crossnumbers
folding tube maps
trigonometry
sum to infinity
money
tiling
powers
division
wordplay
consecutive integers
rectangles
dice
numbers
percentages
hexagons
products
games
dominos
doubling
regular shapes
shapes
albgebra
clocks
graphs
chalkdust crossnumber
functions
triangles
routes
the only crossnumber
lines
volume
multiplication
pascal's triangle
pentagons
angles
integration
ellipses
coordinates
proportion
geometry
numbers grids
factorials
consecutive numbers
palindromes
3d shapes
polygons
symmetry
multiples
arrows
digital products
matrices
bases
logic
colouring
digits
tournaments
spheres
circles
cards
rugby
sums
prime numbers
square roots
speed
tangents
christmas
elections
star numbers
chocolate
shape
dodecagons
unit fractions
surds
crossnumbers
number
differentiation
chess
calculus
crosswords
square numbers
averages
scales
factors
cubics
geometric means
coins
even numbers
quadrilaterals
advent
triangle numbers
probabilty
indices
squares
cryptic clues
neighbours
range
probability
menace
perimeter
digital clocks
binary
ave
quadratics
grids
fractions
balancing
polynomials
axes
sets
perfect numbers
gerrymandering
partitions
odd numbers
complex numbers
people maths
sport
algebra
median
parabolas
medians
remainders
cube numbers
mean
taxicab geometry
2d shapes
combinatorics
means
sequences
geometric mean
area
Archive
Show me a random puzzle
▼ show ▼
▲ hide ▲
Most recent collections
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
Advent calendar 2021
List of all puzzles
Tags
binary
books
medians
scales
clocks
chess
digital clocks
people maths
number
averages
partitions
neighbours
rugby
sums
mean
products
chocolate
fractions
geometric mean
unit fractions
cryptic crossnumbers
consecutive numbers
ellipses
prime numbers
dice
circles
surds
dominos
numbers grids
menace
dates
crosswords
even numbers
chalkdust crossnumber
lines
division
axes
area
cards
perfect numbers
star numbers
sum to infinity
squares
addition
triangles
integers
polynomials
floors
geometry
expansions
irreducible numbers
functions
coordinates
palindromes
median
quadratics
doubling
sequences
square grids
determinants
balancing
triangle numbers
factors
christmas
algebra
range
money
square roots
proportion
cryptic clues
quadrilaterals
advent
time
percentages
sets
crossnumbers
spheres
numbers
digits
angles
gerrymandering
square numbers
indices
3d shapes
tangents
symmetry
graphs
trigonometry
multiples
speed
routes
coins
probabilty
shape
parabolas
means
grids
geometric means
polygons
2d shapes
tournaments
colouring
sport
rectangles
probability
pentagons
perimeter
the only crossnumber
cubics
differentiation
bases
decahedra
planes
wordplay
volume
shapes
arrows
multiplication
tiling
taxicab geometry
calculus
digital products
albgebra
integration
consecutive integers
factorials
folding tube maps
combinatorics
complex numbers
regular shapes
powers
pascal's triangle
remainders
logic
hexagons
dodecagons
cube numbers
ave
matrices
games
odd numbers
elections
© Matthew Scroggs 2012–2025