Question

Thirty increased by six times a number x is fifty-four.

Answer 1

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;

`\begin{gathered} \text{Six times the number = 6}* 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=(24)/(6) \\ x=4 \end{gathered}`

Therefore, the number is 4.