Solve the Problem $\$ \mathrm { a }$ , Bcd,efg, Satisfying These Conditions

question 31

Multiple Choice

Solve the problem.
-Mr. Smith's salary last year was a palindromic, 7 -digit amount, say $\$ \mathrm { a }$ , bcd,efg, satisfying these conditions:
$\mathrm { a } + \mathrm { b } \neq \mathrm { e } + \mathrm { f } ; \mathrm { a } = ( \mathrm { b } + \mathrm { e } ) - 8$ ;
if $c$ were decreased by 2 , the difference would equal the sum of $f$ and $d$ ; $d = 2$ ;
and all of the numbers are multiples of $2 .$
What was Mr. Smith's salary last year?

• A) \(\$ 4,482,844\)
• B) \(\$ 2,462,642\)
• C) \(\$ 4,462,644\)
• D) \(\$ 6,642,466\)