mscroggs.co.uk
mscroggs.co.uk

subscribe

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

Tags: numbers, bases
If you enjoyed this puzzle, check out Sunday Afternoon Maths VIII,
puzzles about numbers, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2020

Advent calendar 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2021