  Repdigits are natural numbers formed by the repetition of a single digit. In
this paper, we study the problem of writing repdigits as the difference of two
balancing or Lucas-balancing numbers. The method of proof involves the
application of Baker's theory for linear forms in logarithms of algebraic
numbers and the Baker-Davenport reduction procedure. Computations are done with
the help of a simple computer program in {\it Mathematica}.
