YouTipPython Exercise Example3
# Python2.x Python Exercise Example 3
[ Python 100 Examples](#)
**Question:** An integer, when added to 100, is a perfect square, and when added to another 168, is also a perfect square. What is the number?
**Program Analysis:**
Assume the number is x.
1. Then: x + 100 = n 2, x + 100 + 168 = m 2
2. Calculate the equation: m 2 - n 2 = (m + n)(m - n) = 168
3. Set: m + n = i, m - n = j, i * j = 168, at least one of i and j is even
4. We can get: m = (i + j) / 2, n = (i - j) / 2, i and j are either both even or both odd.
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