perplexus.info :: Just Math : Inverse Expression Exercise

Inverse Expression Exercise (Posted on 2015-07-07)

(A) Find all possible positive integer solutions to this equation and prove that there are no others:

(1 + 1/P)(1 + 1/Q)(1 + 1/R) (1 + 1/S) (1 + 1/T) = 14.4, with the restriction
P ≤ Q ≤ R ≤ S ≤ T

(B) What is the total number of positive integer solutions to the above equation without the restriction?

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(A) (P, Q, R, S, T) = (1,1,1,2,5)
(B) The total number of solutions without the restriction is the ways of rearranging these numbers: 5*4 = 20.
No solution was offered by any member.

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	Subject	Author	Date
	probabile solution	Charlie	2015-07-07 16:50:57

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