<u><em>20</em> palindromes exist that qualify this criteria rigorously</u>
Examples:
52025, 52125, 52225, 52325, 52425, 52525, 52625, 52725, 52825, 57975 etc.
Answer:
3 years
Step-by-step explanation:
Note that:
P(0) = 803
So Tripling time ==> P(t) = 3*P(0) = 3*803 = 2409
Then we have an equation:
2409 = 803*
<=> 3 =
<=> 1 = 
<=> t = 
So the tripling time for this population of alligators is 3 years
Let's say the first number is "a"
the next consecutive can just be "a+1" and the next, you guessed it, "a+2"
the two smaller ones are a and a+1, the larger one is a+2
now, the product of "a" and "a+1" equals 5 times "a+2" but less by 5
thus a(a + 1) = 5(a + 2) - 5 <----- solve for "a"
