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 bases, or a random puzzle.

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

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2026