Question

I think of a number, subtract 2 to and multiply it by 5. This gives me the same answer as when I take 7 from the number and treble it. What is my number?​

Answer 1

The number is 0.75

Explanation:

Analyze the question one statement at a time:

Let the number be
`x`

Subtract 2;
`x - 2`

Multiply by 5:
`(x - 2) * 5`

The result equals
`x - 7`

Required

Find the number (x)

The equation to work with is:

`(x - 2) * 5 = x - 7`

Open bracket

`5x - 10 = x - 7`

Collect like terms

`5x - x = 10 - 7`

`4x = 3`

Divide both sides by 4

`x = (3)/(4)`

`x = 0.75`