Question

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

Answer 1

Solution :

Let x be the number

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

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

$\small\bold\red{→}\small\bold{(\frac{1}{2})x = 6}$

$\small\bold\red{→}\small\bold{2 × (\frac{1}{2})x = 6 × 2 }$

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

Answer 2

Hello.

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

Let's say the number is z.

Divide z by 2:

$\displaystyle\frac{z}{2}$

Add 5 to it:

$\displaystyle\frac{z}{2} +5$

Now, this expression equals 11:

$\displaystyle\frac{z}{2} +5=11$

Subtract 5 from both sides:

$\displaystyle\frac{z}{2} =11-5$

$\displaystyle\frac{z}{2} =6$

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

$\displaystyle\frac{z}{2} *2=6*2$

$z=6*2$

$\Large\boxed{z=12}$

I hope it helps.

Have an outstanding day. :)

$\boxed{imperturbability}$