Question

The denominator of a rational number is greater than its numerator by 3. If the numerator is
doubled, and the denominator is decreased by 1, the number obtained is
10/7. Find the rational number

Answer 1

Answer:

So here let us consider numerator to be = x

So the denominator is = x + 3

That means the number is  $\frac{x}{x+3}$

In the second case, numerator is doubled and denominator is reduce by 1.

SO new numerator is = 2x

New denominator = x +3 - 1 = x+2

So the new number is  $\frac{2x}{x+2}$

But, it is given that, the new number is 10/7, so

 $\frac{2x}{x+2}$ = 10/7 [cross multiply]

10x+20 = 14x

10x-14x = -20

-4x = -20

4x = 20

x = 20/4

x = 5

Earlier I mentioned that the number is $\frac{x}{x+3}$

Replace x with 5,

$\frac{5}{5+3}$

= 5/8

Hope it helps,

Byeeee

Answer 2

Answer:

Rational number:- 5/8

Step-by-step explanation:

You can cross check:-

double of 5 is 10 and 8-1 is 7 so it will be 10/7

Hope this helps u.

Thanx for being patience

Pls mark the ans as brainliest...