Acompany added a new oil tank that holds 350 barrels of oil more than its old oil tank. together they hold 3650 barrels of oil. how much does each tank hold.

Capacity of old tank =  1650 barrels.    

Capacity of new tank =  2000 barrels.  

Explanation:

  Let a be the capacity of old tank and b be the capacity of new tank.

 A company added a new oil tank that holds 350 barrels of oil more than its old oil tank.

So we have    b - a  = 350 equation 1

Together they hold 3650 barrels of oil

                        a + b = 3650 equation 2

equation 1 + equation 2

                       2b = 3650 + 350 = 4000

                          b = 2000 barrels.

Substituting in equation 1

                  2000 - a = 350

                            a = 1650 barrels.

Capacity of old tank =  1650 barrels.    

Capacity of new tank =  2000 barrels.