Answer:
The number of candles will hold 2 candles
And large candle holder will hold 6 candles.
Step-by-step explanation:
Let the number of candles  small candle holder have x
And the number of candles large candle holder have y
So, according to the information given in the question:
17 small candle holders means 17 x
 and 2 large candle holders means 2y
 using a total of 46 candles means  (1)
     (1)
Similarly, 8 small candle holders and 2 large candle holders, for a total of 28 candles gives:
 (2)
      (2)
We will solve equation (1) and (2) by elimination method:
Subtractijng the two equations we get:


Substitute x=2 in equation(2) we get:


So, the number of candles will hold 2 candles
And large candle holder will hold 6 candles.