olymmath

BALTIC-WAY 1995 Problem 4

  • Answer

John is older than Mary. He notices that if he switches the two digits of his age (an integer), he gets Mary's age. Moreover, the difference between the squares of their ages is the square of an integer. How old are Mary and John?

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

65, 56

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Locator baltic-way/1995/p4 · Tag 1S68E97Z4Q · Edit this page on GitHub · Keys: j next, k previous