A number is increased by 50% and then reduced to 50%, the result thus obtained is 780. Find the original number.10001040780880

Sure, let's solve this step by step:

1. Let's assume the original number is X.

2. According to the problem, the number is first increased by 50%. So, the new number becomes 1.5X.

3. This increased number is then reduced by 50%, which means it is halved. So, the number now becomes 1.5X * 0.5 = 0.75X.

4. According to the problem, this final number is 780. So, we can set up the equation 0.75X = 780.

5. To solve for X, we divide both sides of the equation by 0.75. So, X = 780 / 0.75.

6. Solving this gives us X = 1040.

So, the original number was 1040.