Solve the Problem $a + b \neq c + d ; b + e = ( c + d ) + 10$

Multiple Choice

Solve the problem.
-Jake's birth date in numbers (month-day-year) is a 6-digit palindrome, say ab-cd-ef, satisfying these conditions:
$a + b \neq c + d ; b + e = ( c + d ) + 10$
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 16 th of the month; in the year 2023 , Jake will be in his 50 's.
On what month and day was his mother born?

A) July $22 n d$
B) June 20th
C) September 24th
D) August 22nd