Rai is 15 years old
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Let's denote Rai's current age as x years.
The product of Rai's age 3 years ago (x - 3 years) with her age 5 years later (x + 5 years) is 240.
This forms the equation:
Expand the equation:
Simplify the equation:
The factoring of the quadratic equation yields:
which gives us two possible ages: 15 and -17
Since a person cannot have a negative age, the only logical solution is that Rai is 15 years old currently.
