Two barrels together 897 liters of gasoline. When 25 gasoline was taken from the first barrel, and 58 gasoline was taken

Two barrels together 897 liters of gasoline. When 25 gasoline was taken from the first barrel, and 58 gasoline was taken from the second barrel, then in both barrels of gasoline it became equal. How many liters of gasoline were in each barrel initially? Answer: the first barrel originally contained liters of gasoline; the second barrel originally contained liters of gasoline.

Let there be x liters in the first barrel, and liters in the second. Then then in the first barrel there were x – 25 liters, and in the second – y – 58 liters. The amount of gasoline became the same. Let’s compose and solve a system of equations.
1) x + y = 897 2) x = 897-y
1) x-25 = y-58 2) 897-y-25 = y-58
3) 897-u-u-25 = -58
4) -2y = -58-897 + 25
5) 2y = 930
6) y = 930/2
7) y = 465
So, the second barrel had 465 liters of gasoline.
8) x = 897-y
9) x = 897-465
10) x = 432
The first barrel contained 432 liters of gasoline.
Answer: initially, the first barrel contained 432 liters of gasoline, the second barrel originally contained 465 liters of gasoline.



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