Question

The denominator of a rational number is 4 more than the numerator. If 2 is added to the numerator and 3 is added to the denominator then the new number becomes 3/4. Find the original number.​

Answer 1

Answer:

HOPE IT HELPS

THANKS

Answer 2

Answer:

The Original Number is $\tt{\dfrac{13}{17}}$

Step-by-step explanation:

Given :

Denominator of the Rational Number is = 4 more than the numberator

When 2 is added to the numerator and 3 is added to the denominator new rational number = $\tt{\dfrac{3}{4}}$

To find :

The Original Number

Solution :

Let the -

• Numerator be as y
• Denominator as (y + 4)

★ $\boxed{\tt{\frac{y + 2}{(y + 4) + 3} = \frac{3}{4}}}$

$\sf{\implies} \: \frac{y + 2}{(y + 4) + 3} = \frac{3}{4}$

$\sf{\implies} \: \frac{y + 2}{y +7} = \frac{3}{4}$

$\sf{\implies} \:4(y + 2) = 3(y + 7)$

$\sf{\implies} \:4y + 8 = 3y + 21$

$\sf{\implies} \:4y - 3y = 21 - 8$

$\sf{\implies} \:y = 13$

Numberator = 13

$\rule{300}{1.5}$

★ Value of (y + 4)

$\sf{\implies} \:13 + 4$

$\sf{\implies} \:17$

Denominator = 17

Rational Number = $\boxed{ \tt{\dfrac{13}{17}}}$

$\therefore$ The Original Number is $\tt{\dfrac{13}{17}}$