Question

The ratio of numerator and denominator of a rational number is 2 : 7 and if 4 is added to numerator
and 2 is subtracted from denominator, the rational number becomes
10
/19 . Find the original rational

number​

Answer 1

Answer:

6/21

Step-by-step explanation:

Please mark as BRAINLIEST

Answer 2

Answer:

Given:-

• The Ratio of numerator and denominator of a rational number = 2:7

• Now ,4 is added to numerator and 2 is subtracted from denominator.

Have to Find :-

What's the original rational number ?

Solution :-

Firstly , We consider the numerator as " 2x " and denominator as " 7x "

Now , According to the Question :-

$\sf{\dfrac{2x+4}{7x-2} = \dfrac{10}{19}}$

Therefore , Simply doing Cross-Multiplication,

↬ 19 ( 2x + 4 ) = 10 ( 7x - 2 )

↬ 38x + 76 = 70x - 20

↬ 38x - 70x = -76 (-20)

↬ -32x = ( -96)

↬ x = (-96) / (-32 )

↬ x = 3

Hence,

We know

• Numerator ➤ 2x

↠ 2 × 3

↠ 6

• Denominator ➤ 7x

↠ 7 × 3

↠ 21

Thus , the original rational number is $\frac{6}{21}$