[tex]\large{\rm{\underline{\underline{Answer:}}}}[/tex]
Let the number be x.
Then, the number increased by 3 will be x + 3.
According to question,
x(x + 3) = 54
x² + 3x = 54
x² + 3x - 54 = 0
By middle term factorisation,
x² + 9x - 6x - 54 = 0
x(x + 9) - 6(x + 9) = 0
(x + 9)(x - 6) = 0
Equating to zeroes and we get,
x + 9 = 0
x = -9 (First value)
and,
x - 6 = 0
x = 6 (second value)
