im not even sure what the part in red means...Okay, let me also analyse it...
When Naruto was 12, Tsunade was said to be 50.
Hence, Jiraiya was also 50...
Now when Naruto is 16, Jiraiya must have had 54
16 Years ago, when Kyuubi attacked and Minato died, Jiraiya must have had 38 Years old...
Minato was placed under Jiraiya's supervision at 10 years old and Minato surely took charge of Kakashi at around 17 years old...
Let suppose now that he took 1 Year to win the 3rd War, 3 to create Rasengan, some months to pass on the legacy of Rasengan to others and finally, 9 months till the birth of Naruto and his death.
So when Minato died, he should have approximately 17+5 = 22 Years old.
So when Jiraiya began training Minato, he was around 38-12 = 26 Years...
He trained the Ame Orphans for 3 Years, so let's say that Jiraiya left them, he was 24 and when he met them, he was 21...
Hence Jiraiya fought the "so-called" great Hanzo at 21...
Now let' us continue to see the difference in age between Nagato....
Nagato saw Hanzo at let's say around 10 Years old...
He trained 3 Years...He was 13...
When he beat up Pain, they seem in the 17s-20s...
Still, I took the maximum for you (20 years old even if I think that he was 18)This makes 20 Years (Hanzo defeated) to 10 years old (first met Hanzo), it's thus a 10 Year gap.
I think my calculations are correct, atleast I hope so(try contradict me with a reason if you can)...
what do you mean when you say "when he beat up pain, he seem in the 17s-20s"? when who beat up pain?
Jiraiya started training nagato, konan, etc right as the second shinobi war was ending.
It was years later that the third shinobi war happened with Minato as the hokage.
It has been over 16 years since Minato died.
Pain had just recently killed Hanzo before Jiraiya snuck into the Rain villiage and faced Pain. Probably just a year or 2.
Remember that Kakashi was a kid during the third war, so at least 18 years have passed since the third shinobi war....minato was still alive and was hokage at the time so we know its over 16 years.
So from the second shinobi war to present has been at LEAST 25 years IMO. Probably more.