Question

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

Answer 1

Answer:

Let number is  

x+3

x

​

Now adding 5

⇒

x+8

x+5

​

=

5

4

​

⇒5x+25=4x+32

⇒x=7.

∴ the fraction is  

x+5

x

​

=

7+5

7

​

=

12

7

​

Step-by-step explanation:

Answer 2

Answer:

7/10

Step-by-step explanation:

Given that the denominator of a fraction is 3 more than the numerator. Let's say that the numerator is x then denominator is 3 more than numerator i.e. (x + 3).

Also given that, if 5 is added to both numerator and denominator, then fraction becomes 4/5. Now,

• Numerator = (x + 5)
• Denominator = (x + 3 + 5) = (x + 8)

As per given statement,

→ (x + 5)/(x + 8) = 4/5

Cross multiply them,

→ 5(x + 5) = 4(x + 8)

→ 5x + 25 = 4x + 32

→ 5x - 4x = 32 - 25

→ x = 7

Therefore, the numerator is x i.e. 7 and denominator is (x + 3) i.e. (7 + 3) = 10.

Hence, the fraction is Numerator/Denominator = 7/10.