**Question: **A positive integer that, when added to 1000 gives a sum which is greater than when multiplied by 1000. Find the positive integer.

**Answer:**

The positive integer is 1.

Sum of 1 and 1000 = 1 + 1000 = 1001

Multiplication of 1 and 1000 = 1 * 1000 = 1000

Thus, sum of 1 and 1000 is greater than the multiplication of 1 and 1000.