Numbers...without numbers?
Number Theory
Level
3
Consider a positive four digit number, \(\overline{ABCD}\).
Where:
\(A + B + C + D = \overline{AD}\)
C - B = A
\(\overline{AD} \times \overline{ DA} = \overline{ABCD}\)
What is number \(\overline{ABCD}\) in its numerical representation?
Details and assumptions. Each letter represents one numerical digit. ABCD is positive. AD is equivalent to 10A +D, not AxD.
by
Seth Lovelace