MathDB

Let

O, M, P

and

D

be distinct digits from each other, and different from zero, such that

O < M < P < D

, and the following equation is true:

\overline{\text{OMPD}} \times \left( \overline{\text{OM}} - \overline{\text{D}} \right) = \overline{\text{MDDMP}} - \overline{\text{OM}}

(a) Using estimates, explain why it is impossible for the value of

O

to be greater than or equal to

3

. (b) Explain why

O

cannot be equal to

1

. (c) Is it possible for

M

to be greater than or equal to

5

? Justify. (d) Determine the values of

M

P

, and

D

Problem Statement