perplexus.info :: Just Math : Mean Integer Illation

Mean Integer Illation (Posted on 2016-04-17)

Each of X and Y is a positive integer with X < Y such that:
The arithmetic mean of X and Y is a positive integer, and:
The geometric mean of X and Y is a positive integer, and:
The harmonic mean of X and Y is a positive integer.

Find the smallest five values of 2X+Y

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required five smallest values of 2X+Y are:
55, 60, 110, 120, 165
For an explanation, refer to the computer program assisted solution submitted by Charlie in this location.

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

	Subject	Author	Date
	computer solution	Charlie	2016-04-17 15:30:22

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