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The denominator of a rational number is greater than its numerator by 7. If the numerator is increased by 17 and the denominator decreased by 6, the new number becomes 2. Find the original number.

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RS AGGARWAL-LINEAR EQUATIONS-EXERCISE 8B
  1. Two numbers are such that the ratio between them is 3:5. If each is ...

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  2. Find three consecutive odd numbers whose sum is 147.

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  3. Find three consecutive even numbers whose sum is 234.

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  4. The sum of the digits of a two-digits number is 12. If the number form...

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  5. The digit in the tens place of a two-digit number is three times that ...

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  6. The denominator of a rational number is greater than its numerator by ...

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  7. In a fraction, twice the numerator is 2 more than the denominator. If ...

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  8. The length of a rectangle exceeds its breadth by 7 cm. If the length i...

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  9. The width of a rectangle is two-thirds its length. If the perimeter is...

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  10. An altitude of a triangle is five-third the length of its correspondin...

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  11. Two angles of a triangle are in the ratio (4:5). If the sum of these a...

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  12. A steamer goes downstream from one point to another in 9 hours. IF ...

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  13. The distance between two stations is 300 km. Two motorcyclists start s...

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  14. Divide 150 into three parts such that the second number is five-sixths...

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  15. Divide 4500 into two parts such that 5% of the first part is equal to ...

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  16. Rakhi's mother is four times as old as Rakhi. After 5 years, her mothe...

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  17. Baichungs father is 26 years younger than Baichungs grandfather and 29...

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  18. A man is 10 times older than his grandson. He is also 54 years older t...

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  19. The difference between the ages of two cousins is 10 years. 15 years a...

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  20. Half of a herd of deer are grazing in the field and three fourths o...

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