Question

the denominator of a rational number is twice it's numerator.If the numerator is decreased by 3 and the denominator is increased by 7,the number obtained is 2/5.Find the rational number

Answer 1

let the numerator be x and the denominator will be 2x.

x-3/2x+7=2/5.
5(x-3)=2(2x-7)
5x-15=4x-14
x=29
2x=58
hope it helps
#aditya

Answer 2

Answer:

Step-by-step explanation:

Let the numerator of the rational be=x and the denominator be=2x

According to question, $\frac{x-3}{2x+7}=\frac{2}{5}$

$5(x-3)=2(2x+7)$

$5x-15=4x+14$

$5x-4x=14+15$

$x=29$

Thus, the numerator=29 and the denominator=2(29)=58, hence the rational number is=$\frac{29}{58}$