Question

9. A number exceeds 20% of itself by 40. Find the number.
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Answer 1

I might not get it right but here's my answer

8

you find 10% of 40 which is 4

then you multiply the 10% which is 8

hope this helps (probably won't)

Answer 2

Answer:

Number = 50

Step-by-step explanation:

Given :

▪︎Number exceeds by 20 % by itself by 40

To find :

The number

Taken :

Let the number be x

So , the 20% of x -:

$\leadsto\rm{\dfrac{20\%}{100\%}\times\:x}$

$\leadsto\rm{\cancel{\dfrac{20\%}{100\%}}\times\:x}$

$\leadsto\rm{\dfrac{x}{5}}$

After that to find the number the equation will form like this -:

$\boxed{\rm{x-\dfrac{x}{5}=40}}$

Solution :

$\leadsto\rm{x-\dfrac{x}{5}=40}$

$\leadsto\rm{\dfrac{x}{1}-\dfrac{x}{5}=40}$

L.C.M. of 1 and 5 is 5

$\leadsto\rm{\dfrac{5x-x}{5}=40}$

$\leadsto\rm{\dfrac{4x}{5}=40}$

Cross multiply the number

$\leadsto\rm{4x=40\times5}$

$\leadsto\rm{4x=200}$

$\leadsto\rm{x=\cancel{\dfrac{200}{4}}}$

$\leadsto\rm{x=50}$

So , the number is 50 .