Question

When we subtract 5 from a number x and divide the answer by 7 the result is 23 times less than x. Find x

Answer 1

The unknown number is x, and when we subtract 5 from this we would have;

`x-5`

When we divide the answer by 7, that translates to;

`((x-5))/(7)`

The result is 23 times less than x, therefore we would have;

`((x-5))/(7)=x-23`

We can now solve the resulting equation as follows;

`\begin{gathered} ((x-5))/(7)=x-23 \\ \text{Cross multiply and you'll have;} \\ x-5=7*(x-23) \\ x-5=7x-161 \\ \text{Collect all like terms and you'll have;} \\ -5+161=7x-x \\ 161-5=6x \\ 156=6x \\ \text{Divide both sides by 6} \\ (156)/(6)=(6x)/(6) \\ 26=x \\ \text{Therefore,} \\ x=26 \end{gathered}`

ANSWER;

The value of the number x, is 26