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The denominator of a fraction is great...

The denominator of a fraction is greater that its numerator by 11. If 8 is added to both its numerator and denominator, it becomes ` (3)/(4)`. Find the fraction .

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Verified by Experts

The correct Answer is:
`(25)/( 36)`
Let the required fraction be ` (x)/(y)`.
Then, ` x + 11 = y rArr x - y =-11`.
And, ` (x + 8)/(y + 8) = (3)/(4) rArr 4x + 32 = 3y + 24 rArr 4x - 3y = - 8`
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RS AGGARWAL-LINEAR EQUATIONS IN TWO VARIABLES -Exercise 3E
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  2. If 2 is added to the numerator of a fraction, it reduces to 1/2 and if...

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  3. The denominator of a fraction is greater that its numerator by 1...

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  4. In a given fraction, if 1 subtracted from the numberator and 2 ...

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  5. The sum of the numerator and denominator of a fraction is 4 more th...

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  6. The sum of two numbers is 16. The sum of their reciprocals is 1/3. Fin...

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  7. There are two examination rooms A and B. If 10 candidates are sent A a...

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  10. A man invested an amount at 10% per annum and another amount at 8% ...

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  11. The monthly incomes of A and B are in the ratio 5 : 4 and their mont...

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  15. Abdul traveled 300km by train and 200km by taxi, it took him 5 hours 3...

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  20. The lenght of a room exceeds its breadth by 3 meters. If the lenght...

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