Question

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

Answer 1

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

$\frac{20}{100} (\frac{40}{100} (x)) = \frac{x}{2}+10$

$\frac{800}{10000} *x = \frac{x}{2} +10$

$\frac{8}{100} x = \frac{x}{2} +10$

Subtract $\frac{x}{2}$ from both sides

$\frac{8}{100} x - \frac{x}{2} =10$

$\frac{8x}{100} - \frac{50x}{100} =10$

$\frac{-42x}{100}=10$

Multiply 100 on both sides

$-42x = 1000$

Divide both sides by -42

x=$\frac{-500}{21}$

Answer 2

Is the question multiple choice?