Respuesta :

From the question, the number is unknown

Hence let the unknown number be x

We represent the statement given mathematically to form an equation

Thus, we have;

[tex]\begin{gathered} \text{Six times the number = 6}\times x=6x \\ \text{Six times the number increased by 30 = 6x + 30} \\ \text{The result is 54; as such we have} \\ 6x+30=54 \\ \text{Collecting like terms, we have} \\ 6x=54-30 \\ 6x=24 \\ \text{Dividing both sides by 6, we have} \\ x=\frac{24}{6} \\ x=4 \end{gathered}[/tex]

Therefore, the number is 4.