Question

The denominator of a rational number is greater than its numerator by 4. If the numerator is increased by 7 and denominator is decreased by 2 ,the new number brcomes 6/5. Find the original number​

Answer 1

Answer:

let the numerator = x

So, denominator=-x+4

Number=

x+4

x

According to question,

x+4−1

x+11

=

3

7

⟹3(x+11)=7(x+3)

⟹4x=12

⟹x=3

Hence, original number =

7

3

Answer 2

Answer:

hello good morning have a good day ahead

Explanation:

let the numerator = x

So, denominator=-x+4

Number=

x+4

x

According to question,

x+4−1

x+11

=

3

7

⟹3(x+11)=7(x+3)

⟹4x=12

⟹x=3

Hence, original number =

7

3