Question

Four times the sum of half a number and 6 is 48

Answer 1

The number is 12

Explanation:

Let the number be x

Half a number is written as 1/2x

So we have

Four times the sum of half a number and 6 is 48 is written as

`4( (1)/(2) x + 6) = 48 \\ 2x + 24 = 48 \\ 2x = 48 - 24 \\ 2x = 24`

Divide both sides by 2

That's

`(2x)/(2) = (24)/(2)`

We have the final answer as

x = 12

Hope this helps you