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If 2 is added to both the numerator and the denominator of a fraction , it becomes `(9)/(11)` Again, if 1 is subtracted from both the numerator and denominator of the fraction ,it becomes `(3)/(4)` Determine the fraction .

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The correct Answer is:
`(7)/(9)`
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(xvii) Express the following statements in the form of simultaneous linear equations : (a) If 2 is added to both the numerator and denominator of a fraction it becomes (5)/(7) and If 1 is substracted from both the numerator and denominator the value of the fraction becomes (1)/(2) .

Express the following statements in the form of simultaneous linear equations : If 2 is added to both the numerator and denominator of a fraction, its value becomes 7/9 and if 3 subtracted from both the numerator and denominator of it, the fraction becomes 1/2 .

Express the following statements in the form of simultaneous linear equations and solve them by drawing graphs : (iii) If 3 is subtracted from the numerator and 2 is added to the denominator of a fraction it becomes (1)/(3) . Again, if 4 is substracted from the numberator and 2 is subtracted form the denominator of the same fraction, it becomes (1)/(2) . Determine the fraction.

If 2 is subtracted from the numerator and 3 is added to the denominator of a fraction , it becomes (1)/(4) . But , if 6 is added to the numerator and the denonimator is multiplied by 3, then the fraction becomes (2)/(3) . Determine the fraction.

The denominator of a fraction is greater than numerator of it by 5 and if 3 is added to both the numerator and the denominator the fraction becomes (3)/(4) . Find the fraction.

Sum of the numerator and the denominator of a fraction is 13. If 4 is added to the numerator and 10 is added to the denominator of the fraction it becomes (1)/(2) . Find the fraction.

If 1 is added to each term of a ratio, it becomes 2 : 3 and if 4 is subtracted from each term of the ratio, then it becomes 1 : 2 . Find the ratio .

CALCUTTA BOOK HOUSE-LINEAR EQUATIONS IN REAL PROBLEMS-EXERCISE-5
  1. Sum of the numerator and the denominator of a fraction is 13. If 4 is ...

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  2. A man travels a distance in 3 hours with a uniform velocity . If the d...

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  3. If the length of a a rectangular park be increased by 2 metres and the...

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  4. If 2 is subtracted from the numerator and 3 is added to the denominato...

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  5. The sum of the present ages of a mother and her daughter is 55 years. ...

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  6. A number of two digits is 3 more than 4 times of the sum of its digits...

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  7. 5 times of the greater one of two numbers is 2 more than 8 times of th...

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  8. If 2 is added to both the numerator and the denominator of a fraction ...

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  9. The total price of 9 horses and 7 cows is Rs. 3000 and at the same rat...

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  10. A person travels by boat 5 kilometres in 1 hour in still water. The ti...

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  11. Determine a number of three digits such that if the digits of it be re...

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  12. A student starting from his house walks at a speed 2(1)/(2) km/hour ...

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  13. Total price of 3 pens and 4 pencils is Rs. 37. Again , total price of ...

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  14. 2 men and 6 boys together can do a piece of work in 5 days . 8 men and...

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  15. A boat travels up stream 30 kilometres and down -stream 44 kilometres ...

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  16. Two men 8(1)/(4) kilometres apart, start to walk at the same time . I...

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  17. If a man sells 7 horse and buys 9 cows his purchase increases by Rs. 1...

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  18. A boy was asked to add 3 to a certain number and to divide the sum by ...

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  19. You can spend only Rs. 16 for witnessing football matches . You can wi...

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  20. If the angle of elevation of the Sun is 30^@, then the length of the s...

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