Question

If 20% of 40% of a number is 10 greater than half the number what is the number

Answer 1

is the question multiple choice?

Answer 2

Let the number is x

Now going with the statement of the question

20% of 40% of x is 10 greater than half of x

So

`(20)/(100) ((40)/(100) (x)) = (x)/(2)+10`

`(800)/(10000) *x = (x)/(2) +10`

`(8)/(100) x = (x)/(2) +10`

Subtract
`(x)/(2)` from both sides

`(8)/(100) x - (x)/(2) =10`

`(8x)/(100) - (50x)/(100) =10`

`(-42x)/(100)=10`

Multiply 100 on both sides

`-42x = 1000`

Divide both sides by -42

x=
`(-500)/(21)`