In other words, the amount of alcohol consumed per meal is one barrel more than that of the previous meal. The total amount of drinking for three meals multiplied by two is 146. How much wine do you drink for three meals?

Drink x barrels at noon and x- 1 barrel in the morning. Drink x+ 1 barrel at night.

There are x (x-1)+x (x+1)+(x-1) (x+1) =146.

3x^2- 1= 146

x=7

Drink 6, 7 and 8 barrels in the morning, noon and evening respectively.