Question

Seven times a number increased by 6 equals the number increased by 24. find the number

Answer 1

First, we have to set an equation from the given statement. Let n represent the number, then:

`7n+6=n+24.`

To solve the above equation for n, first, we subtract n from both sides of the equation:

`\begin{gathered} 7n+6-n=n+24-n, \\ 6n+6=24. \end{gathered}`

Subtracting 6, we get:

`\begin{gathered} 6n+6-6=24-6, \\ 6n=18. \end{gathered}`

Finally, dividing by 6 we get:

`\begin{gathered} (6n)/(6)=(18)/(6), \\ n=3. \end{gathered}`

Answer:

`3.`