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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 392 · 40 questions
TalentJR

The method (Let it be x): Let x be the thing asked for. Write the other amounts using x. Turn the story into one equation. Open brackets, collect x on one side and numbers on the other, then divide. Check: put x back into the story.

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  1. 1.The length of a rectangle is 10 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 7 and then add 30. The answer is 240. What is my number?
  3. 3.A pen costs ₹15 more than a pencil. 6 pens and 4 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
  4. 4.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹24 in all. What does one pencil cost (in ₹)?
  5. 5.7 × ? − 23 = 5
  6. 6.The length of a rectangle is 10 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  7. 7.Aditya has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 4 and then add 6. The answer is 70. What is my number?
  9. 9.Vivaan has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  10. 10.9 × ? − 1 = 53
  11. 11.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹32 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 4 and then add 34. The answer is 86. What is my number?
  13. 13.The length of a rectangle is 14 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  14. 14.Solve for x: 6(x + 4) = x + 84. What is x?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 5 and then add 20. The answer is 85. What is my number?
  17. 17.11 × ? − 2 = 97
  18. 18.The length of a rectangle is 3 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  19. 19.Zoya has 26 coins, all ₹5 and ₹2 coins, worth ₹121 in all. How many ₹5 coins are there?
  20. 20.Solve for x: 7(x + 9) = 6x + 80. What is x?
  21. 21.8 × ? − 7 = 33
  22. 22.I think of a number, multiply it by 2 and then add 31. The answer is 39. What is my number?
  23. 23.The length of a rectangle is 12 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  24. 24.2 × ? + 17 = 39
  25. 25.Sneha has 24 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  26. 26.Solve for x: 8(x + 6) = 3x + 148. What is x?
  27. 27.Meera has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  28. 28.Kabir has 16 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹7 more than a pencil. 3 pens and 7 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  30. 30.4 × ? + 26 = 98
  31. 31.Solve for x: 8(x + 3) = 4x + 92. What is x?
  32. 32.A pen costs ₹5 more than a pencil. 2 pens and 3 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  33. 33.5 × ? − 9 = 76
  34. 34.The length of a rectangle is 3 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  35. 35.6 × ? + 17 = 149
  36. 36.Solve for x: 8(x + 7) = 3x + 66. What is x?
  37. 37.A pen costs ₹8 more than a pencil. 2 pens and 8 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 3(x + 1) = x + 33. What is x?
  39. 39.The length of a rectangle is 3 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  40. 40.The length of a rectangle is 12 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?

Answer key

  1. 27
  2. 30
  3. 11
  4. 5
  5. 4
  6. 11
  7. 1
  8. 16
  9. 7
  10. 6
  11. 4
  12. 13
  13. 14
  14. 12
  15. 3
  16. 13
  17. 9
  18. 26
  19. 23
  20. 17
  21. 5
  22. 4
  23. 21
  24. 11
  25. 15
  26. 20
  27. 1
  28. 15
  29. 12
  30. 18
  31. 17
  32. 19
  33. 17
  34. 25
  35. 22
  36. 2
  37. 14
  38. 15
  39. 17
  40. 12

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