Question

Numerator of a fraction is 5 more than 5 times its denominator. When 5 is subtracted from the numerator of the fraction
and added to its denominator, the fraction becomes equal to 4. Find the original fraction. /

Answer 1

HELLO FRIEND,

HERE IS YOUR ANSWER,

I HOPE YOU WILL UNDERSTAND.......!!!!!!

Answer 2

Let the denominator be x

Since we know that the numerator is 5 more than 5 times its denominator:

⇒ Numerator = 5x + 5

⇒ the fraction is (5x+5)/x

----------------------------------------------------------------------------------------------

Subtract 5 from the numerator and added to the denominator:

⇒ numerator = (5x + 5) - 5 = 5x

⇒ denominator = x + 5

⇒ the fraction is 5x/(x + 5)

----------------------------------------------------------------------------------------------

The fraction is equal to 4:

⇒ 5x/(x + 5) = 4

----------------------------------------------------------------------------------------------

FIND X:

5x/(x + 5) = 4

cross-multiply:

5x = 4(x + 5)

Distribute 4:

5x = 4x + 20

Subtract 4x from both sides:

x = 20

----------------------------------------------------------------------------------------------

FORM THE FRACTION:

Fraction = (5x + 5)/x

Plug in x = 20 into the fraction:

= (5(20) + 5) / 20

Evaluate the numerator:

= 105/20

Simplify:

= 21/4

----------------------------------------------------------------------------------------------

Answer: The fraction is 21/4