The johnson twins were born 5 years after their older sister. this year, the product of the 3 siblings' age is exactly 4450 than the sum of their ages. how old are the twins?

I'm in high school AP Calculus and I can't even solve this problem. I'm sure there's a solution but it's incredibly difficult.

The most I've got that I'm positive was the right thing to do is this:

Twins' age = S - 5
(S = Sister's Age)

S(S - 5)² = S + S - 5 + S - 5 + 4450

S(S - 5)² = 3S - 10 + 4450

S(S - 5)² = 3S + 4440

And that's all I have. I'll continue to try and solve this equation and even ask my teacher about it. He's a math genius.

I apologise for not being able to come up with a solid answer. The least I can do for you is this.