Readjust sides to Readjust Area

Geometry Level 4

Let \(a\) and \(b\) be positive integers less than 100.

If the length of a certain rectangle is increased by \(a\% \), and the width of the same rectangle is decreased by \(b\% \), then the resultant area is increased by \(20.17\% \).

Find \(a+b\).

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