Determine all possible pairs (p, q) of base ten positive integers that satisfy this system of equations:

• arithmetic mean (p, q) = 10x+y
• geometric mean (p, q) = 10y+x

where, each of p and q is a nonzero base ten integer, with p≠q, and each of x and y is a base ten digit.

Sum of two squares | Rating: 5.00
Posted on 2023-03-14 by Ady TZIDON (No Solution Yet, 4 Comments)

A troublesome number puzzle |
Posted on 2023-03-10 by Jer (No Solution Yet, 1 Comments)

Stairway Ascension Ascertainment | Rating: 5.00
Posted on 2023-03-07 by K Sengupta (Solution Posted, 6 Comments)

WG’s quintuple | Rating: 4.00
Posted on 2023-02-28 by Ady TZIDON (No Solution Yet, 3 Comments)

3 integers |
Posted on 2023-02-27 by Ady TZIDON (Solution Posted, 6 Comments)

Root Ratio Crossed Rational Resolution | Rating: 4.00
Posted on 2023-02-22 by K Sengupta (Solution Posted, 3 Comments)

Ratio Crossed Pythagorean Integer Illation | Rating: 5.00
Posted on 2023-02-20 by K Sengupta (Solution Posted, 2 Comments)