A total of 465 steel pipes are placed on a V-shaped frame, one on the bottom layer and one more on each upper layer. How many layers are there? How many on the top layer?

A total of 465 steel pipes are placed on a V-shaped frame, one on the bottom layer and one more on each upper layer. How many layers are there? How many on the top layer?

Suppose that the top layer is just full, and there are n layers,
1/2*n*(n+1)=365
(n+1/2)^2=(930*4+1)/4
n+1/2=61^2/4
n=30
There are 30 floors
30 on the top floor