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?