's birth date in numbers (month-day-year) is a 6-digit palindrome, say ab minus cd minus ef comma satisfying the following conditions:
aplusbnot equalscplusd; bpluseequals(cplusd)plus10;
he was born later than 1958;
had he been born 1 month later, his birthday would fall on the same day as his mother's birthday;
his mother was born on an even numbered day after the 16th of the month;
in the year 2023, Jack will be in his 50's.
On what month and day was his mother born?
