To do this, you can set up an equation to represent the total number of inhabitants after the two transactions have occurred, and then solve for the initial number of inhabitants. The solution would be calculated as follows: Let the total number of original inhabitants be x. Then the number of inhabitants after 10% have died is (90/100)x. The number of inhabitants after 25% have left is ((75/100) * (90/100)x). This is equal to 4050, so we have the equation: ((75/100) * (90/100)x) = 4050. Solving for x, we get: x = ((4050 * 40) / 27) = 6000. This means that there were originally 6000 inhabitants in the village.