If the sum of the two-digit numbers $AB$ and $CD$ is the three-digit number $1CE$ , where the letters $A$ , $B$ , $C$ , $D$ , $E$ denote distinct digits, then what is the value of $A$ ?

Cannot be determined due to insufficient data

Kepler. Discussing PYQs. Q.no. 48

If the sum of the two-digit numbers ABABAB and CDCDCD is the three-digit number 1CE1CE1CE , where the letters AAA , BBB , CCC , DDD , EEE denote distinct digits, then what is the value of AAA ?