Question

When the number 40 is added to the 20% of a number, the result is the number itself. Find the number.

Answer 1

Answer:

50

Step-by-step explanation:

Answer 2

The required number is 50

Step-by-step explanation:

Let the number be x

According to given question:

$40+20\% of x=x\\\\40+\frac{20}{100}\times x=x$

Applying BODMAS rule

$\Rightarrow 40+\frac{x}{5}=x$

Isolate x by subtracting 40 on both sides

$\Rightarrow 40+\frac{x}{5}-x=x-x\\\\\Rightarrow \frac{200+x-5x}{5} =0\\\\\Rightarrow \frac{200-4x}{5} =0$

Multiply 5 on both sides

$\Rightarrow \frac{200-4x}{5}\times 5=0 \\\\\Rightarrow 200-4x=0$

Subtract 200 on both sides

$\Rightarrow 200-200-4x=-200\\\\\Rightarrow -4x=-200$

Divide -4 on both sides

$\Rightarrow \frac{-4x}{4}= \frac{-200}{-4} \\\\\Rightarrow x=50$

Learn More:

When 75% of a number is added to 75, it results in the number itself. Find the number?

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