perplexus.info :: Numbers : Going Arithmetic With Alphametic

Going Arithmetic With Alphametic (Posted on 2008-06-28)

Φ, Γ and Λ (in this order) with Φ < Γ < Λ are three positive integers in arithmetic sequence that satisfy this set of alphametic equations:

Λ³ - Γ³ = TWO, and:

Γ³ - Φ³ = TOW

where each of the letters T, O and W represent a different decimal (base 10) digit from 0 to 9.

What are the possible value(s) of the triplet (Φ, Γ, Λ)?

Note: T is not zero.

** Can you do this in a short time, using pen and paper, and eventually a hand calculator, but no computer programs?

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The only possible solution is (8,9,10).

EXPLANATION:

Refer to the solution submitted by Praneeth in this location.

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

Subject	Author	Date
re: Solution	K Sengupta	2008-07-16 06:23:12
Solution	Praneeth	2008-06-28 13:36:29

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