What is the least possible number which when divided by 13 leaves the remainder 3 and when it is divided by 5 it leaves the remainder 2.

Explanation

To find the least possible number that meets the given conditions, we can follow these steps:

### Step 1: Set up the equations based on the problem statement.
We need to find a number \( x \) such that:
1. When divided by 13, it leaves a remainder of 3.
2. When divided by 5, it leaves a remainder of 2.

This can be expressed mathematically as:
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