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A number increased by 9 gives 43. Find t...

A number increased by 9 gives 43. Find the number.

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To solve the problem "A number increased by 9 gives 43. Find the number," we can follow these steps: ### Step-by-Step Solution: 1. **Define the Variable**: Let's assume the unknown number is represented by \( x \). 2. **Set Up the Equation**: According to the problem, when we increase this number \( x \) by 9, we get 43. This can be expressed as: \[ x + 9 = 43 \] 3. **Isolate the Variable**: To find \( x \), we need to isolate it on one side of the equation. We can do this by subtracting 9 from both sides: \[ x + 9 - 9 = 43 - 9 \] Simplifying this gives: \[ x = 34 \] 4. **Conclusion**: The number we are looking for is \( 34 \). ### Final Answer: The number is **34**. ---
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ICSE-LINEAR EQUATIONS-EXERCISE 14B
  1. Three-sevenths of a number is 12. Find the number.

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  2. A number increased by 9 gives 43. Find the number.

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  3. A number diminished by 11 gives 57. Find the number.

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  4. Thrice a number increased by 6 equals 39. Find the number.

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  5. Three-fourths of a number exceeds its one-third by 15. Find the number...

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  6. A number when divided by 4 is reduced by 21. Find the number.

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  7. A number is as much greater than 36 as is less than 86. Find the numbe...

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  8. A number exceeds its four-sevenths by 18. Find the number.

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  9. A number exceeds 20% of itself by 40. Find the number.

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  10. If 10 be added to four times a certain number, the result is 5 less th...

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  11. One fourth of a number is increased by 7 and the result is multiplied ...

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  12. The sum of two consecutive odd numbers is 56. Find the numbers.

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  13. The sum of three consecutive even numbers is 48. Find the numbers.

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  14. One of the two numbers exceeds the other by 9. Four times the smaller ...

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  15. In a class of 40 pupils, the number of girls is three-fifths of the nu...

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  16. The length of a rectangular park is three times its breadth. If the pe...

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  17. Two equal sides of a triangle are each 5 metres less than twice the th...

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  18. Two supplementary angles differ by 44^(@). Find the angles.

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  19. The total cost of 3 tables and 2 chairs is Rs. 8745. If a table costs ...

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  20. The denominator of a fraction is 3 more than the numerator. If 2 is ad...

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