Question

The denominator of a fraction is 3 more
than the numerator. If 5 is added to both
numerator and denominator, the fraction
becomes
4
Find the fraction.​

Answer 1

Answer:

i found the answer

Step-by-step explanation:

Fraction: x/y

y=x+3

(x+5)/(y+5)=4/5

5(x+5)=4(y+5)

5(x+5)=4(x+5+3)

x+5=12

x=7

y=10

x/y=7/10

12/15=4/5

Answer 2

Correct Question :

The denominator of a fraction is 3 more than the numerator. If 5 is added to both numerator and denominator, the fraction becomes 4/5.Find the fraction.

Given :

• Denominator of a fraction is 3 more than its numerator.
• If 5 is added to both , the fraction becomes 4/5.

To Find :

• Fraction.

Solution :

$\longmapsto\tt{Let\:the\:numerator\:be=x}$

If the Denominator is 3 more than its numerator.So ,

$\longmapsto\tt{Denominator=x+3}$

Now ,

• If 5 is added to both , the fraction becomes 4/5.

$\longmapsto\tt{Numerator=x+5}$

$\longmapsto\tt{Denominator=x+3+5}$

$\longmapsto\tt{x+8}$

A.T.Q :

$\longmapsto\tt{\dfrac{x+5}{x+8}=\dfrac{4}{5}}$

$\longmapsto\tt{5(x+5)=4(x+8)}$

$\longmapsto\tt{5x+25=4x+32}$

$\longmapsto\tt{5x-4x=32-25}$

$\longmapsto\tt\bold{x=7}$

The Value of x is 7..

Therefore :

$\longmapsto\tt\bold{Numerator=7}$

$\longmapsto\tt{Denominator=7+3}$

$\longmapsto\tt\bold{10}$

So , The fraction is 7/10..