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

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Answer 1

Answer:

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let the numerator = x

So, denominator=-x+4

Number=x+4x

 According to question, 

 x+4−1x+11=37

⟹3(x+11)=7(x+3)

⟹4x=12

⟹x=3

Hence, original number =3/7

Answer 2

Answer:

let the numerator = x

So, denominator=-x+4

Number=x+4x

According to question,

x+4−1x+11=37

⟹3(x+11)=7(x+3)

⟹4x=12

⟹x=3

Hence, original number =3/7

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Step-by-step explanation:

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