Question

How do you solve this step by step? “ I’m thinking of a number. If you multiply it by 6 and then add 7, you will get 55. What is my number?”

Answer 1

8

Explanation:

55 -7 = 48

48/6= 8

Check answer:

8x6= 48

48+7= 55

Answer 2

`\large \boxed{8}`

Explanation:

Let x = your number

Then 6x = your number multiplied by 6

and 6x + 7 = 7 added to that number

`\begin{array}{rcrl}6x + 7 & = & 55 & \\6x & = & 48 & \text{Subtracted 7 from each side}\\x & = & \mathbf{8} & \text{Divided each side by 6}\\\end{array}\\\text{Your number is $\large \boxed{\mathbf{8}}$}`

Check:

`\begin{array}{rcl}6(8) + 7 & = & 55\\48 + 7 & = & 55\\55 & = & 55\\\end{array}`

OK.