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Mean Crossed Reversal Muse (Posted on 2023-03-19)

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.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(p,q)=(98,32), (32,98)
For an explanation refer to the solution submitted by xdog in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
solution	xdog	2023-03-20 15:16:43
computer solution	Charlie	2023-03-19 10:41:38
Solution	Larry	2023-03-19 08:36:57

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