Question

Seperate N into two parts such part is a% of the other?

Answer 1

Answer:

The two parts are $x=\frac{aN}{100+a}$ and  $N-x=\frac{100N}{100+a}$

Step-by-step explanation:

We have to divide N into 2 parts such that one is a% of other.

Let the two parts are x and N-x such that one is a% of other

⇒ x=a% of (N-x)=$\frac{a}{100}(N-x)$

⇒ $N=x+\frac{100x}{a}$

⇒$N=\frac{(100+a)x}{a}$

⇒ $x=\frac{aN}{100+a}$

The other part is

$N-x=N-\frac{aN}{100+a}$

⇒ $N-x=\frac{100N}{100+a}$