Question

Half a number plus 5 is 11.What is the number?​

Answer 1

Hello.

First, "half a number" means we divide that number by 2.

Let's say the number is z.

Divide z by 2:

`\displaystyle(z)/(2)`

Add 5 to it:

`\displaystyle(z)/(2) +5`

Now, this expression equals 11:

`\displaystyle(z)/(2) +5=11`

Subtract 5 from both sides:

`\displaystyle(z)/(2) =11-5`

`\displaystyle(z)/(2) =6`

Now, in order to get rid of the fraction, we should multiply the entire equation by 2:

`\displaystyle(z)/(2) *2=6*2`

`z=6*2`

`\Large\boxed{z=12}`

I hope it helps.

Have an outstanding day. :)

`\boxed{imperturbability}`

Answer 2

Let x be the number

`\small\bold\red{→}\small\bold{((1)/(2) )x + 5 = 11}`

`\small\bold\red{→}\small\bold{((1)/(2))x + 5 - 5 = 11 - 5}`

`\small\bold\red{→}\small\bold{((1)/(2))x = 6}`

`\small\bold\red{→}\small\bold{2 × ((1)/(2))x = 6 × 2 }`

`\small\bold\red{→}\small\bold{x = 12}`