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
[tex] \frac{20}{100} (\frac{40}{100} (x)) = \frac{x}{2}+10 [/tex]
[tex] \frac{800}{10000} *x = \frac{x}{2} +10 [/tex]
[tex] \frac{8}{100} x = \frac{x}{2} +10 [/tex]
Subtract [tex] \frac{x}{2} [/tex] from both sides
[tex] \frac{8}{100} x - \frac{x}{2} =10 [/tex]
[tex] \frac{8x}{100} - \frac{50x}{100} =10 [/tex]
[tex] \frac{-42x}{100}=10 [/tex]
Multiply 100 on both sides
[tex] -42x = 1000 [/tex]
Divide both sides by -42
x=[tex] \frac{-500}{21} [/tex]
