Respuesta :

mhanifa

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:

  • (x - 3)(x + 5) = 240

Expand the equation:

  • x² + 5x - 3x - 15 = 240

Simplify the equation:

  • x² + 2x - 255 = 0

The factoring of the quadratic equation yields:

  • (x - 15)(x + 17) = 0,

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.

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