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Puzzles
Adding bases
Let
a
b
denote
a
in base
b
.
Find bases
A
,
B
and
C
less than 10 such that
12
A
+
34
B
=
56
C
.
Show answer & extension
Hide answer & extension
A
=
8
,
B
=
9
and
C
=
7
.
Extension
Find bases
A
,
B
and
C
such that
123
A
+
456
B
=
789
C
Tags:
numbers
,
bases
If you enjoyed this puzzle, check out
Sunday Afternoon Maths VIII
,
puzzles about
bases
, or
a random puzzle
.
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Archive
Show me a random puzzle
▼ show ▼
▲ hide ▲
Most recent collections
Advent calendar 2024
Advent calendar 2023
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List of all puzzles
Tags
square roots
consecutive integers
polygons
range
triangles
tangents
irreducible numbers
parabolas
probability
circles
balancing
coordinates
integration
dodecagons
graphs
partitions
division
numbers grids
folding tube maps
remainders
lines
integers
numbers
products
addition
averages
dice
grids
perimeter
medians
cryptic crossnumbers
digital clocks
shapes
arrows
determinants
rectangles
means
taxicab geometry
axes
mean
floors
chocolate
speed
odd numbers
probabilty
tiling
trigonometry
binary
wordplay
proportion
chess
geometric means
albgebra
multiplication
consecutive numbers
gerrymandering
combinatorics
scales
2d shapes
angles
even numbers
indices
the only crossnumber
time
volume
crossnumbers
percentages
cryptic clues
ave
doubling
perfect numbers
money
menace
colouring
number
games
cube numbers
triangle numbers
pentagons
functions
factorials
advent
quadratics
christmas
planes
shape
digits
digital products
routes
surds
tournaments
3d shapes
pascal's triangle
squares
chalkdust crossnumber
quadrilaterals
cubics
spheres
sport
factors
geometric mean
geometry
star numbers
area
regular shapes
sequences
decahedra
multiples
neighbours
powers
books
rugby
square grids
differentiation
sums
symmetry
expansions
dominos
dates
coins
unit fractions
sets
people maths
fractions
clocks
bases
algebra
matrices
elections
cards
hexagons
sum to infinity
palindromes
calculus
crosswords
logic
square numbers
prime numbers
median
ellipses
polynomials
complex numbers
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