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Let u , v be two coprime positive integers. A positive integer n is said to be d -representable for u , v if n is the sum of terms taken from { u α v β : α , β = 0 , 1 , ... } such that no one divides the other. Let u , v denote the set of all positive integers that are d -representable. For n ∈ u , v , let m u , v (n) be the maximum of the least terms of d -representations of n and let M u , v (n) be the minimum of the largest terms of d -representations of n. In 1996, Erdős and Lewin conjectured that m 2 , 3 (n) → + ∞ as n → + ∞. Recently, the authors of this paper confirmed this conjecture. This paper concerns the magnitudes of m u , v (n) and M u , v (n). [ABSTRACT FROM AUTHOR]