Question

three less than four times a number is the same as three times a number increased by four. Find the number

Answer 1

Let the number be represented as x

three less than four times a number = 4x - 3

three times a number increased by four = 3x + 4

The number is found by equating both expressions highlighted above. We have:

$\begin{gathered} 4x-3=3x+4 \\ \text{Put like terms together} \\ \text{Subtract 3x from both sides, we have:} \\ 4x-3x-3=3x-3x+4 \\ x-3=4 \\ Add\text{ 3 to both sides, we have:} \\ x-3+3=4+3 \\ x=7 \end{gathered}$

The number is 7