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2. Linear Equations in One Variable
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Q12 of 51 Page 2

The numerator of a rational number is less than its denominator by 3. If the numerator becomes three times and the denominator is increased by 20, the new number becomes . Find the original number.

Let the denominator be x.
By cross multiplying , we have

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10 The sum of two numbers is 45 and their ratio is 7:8. Find the numbers. 11 The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 18, find the original number. Check your solution. 13 Meera’s mother is four times as old as Meera.After five years,her mother will be three times as old as she will be then.What are their present ages? 14 The length of a rectangle exceeds its breadth by 4 cm. If length and breadth are each increased by 3 cm, the area of the new rectangle will be 81 sq. cm more than that of the given rectangle. Find the length and breadth of the given rectangle. Check your solution.
Questions · 51
2. Linear Equations in One Variable
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