There are two kinds of pens, a and B. their price ratio is 2:1. If the price is reduced by 5 yuan, their price ratio is 9:2. What are the original prices of these two kinds of pens?

There are two kinds of pens, a and B. their price ratio is 2:1. If the price is reduced by 5 yuan, their price ratio is 9:2. What are the original prices of these two kinds of pens?

Suppose that the original price of B is x yuan, then the original price of a is 2x yuan
(2x-5):(x-5)=9:2
The solution is x = 7, that is, B = 7 and a = 14