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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 251 · 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.

NameDateTime takenScore ___ / 40
  1. 1.The length of a rectangle is 14 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 15 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  3. 3.I think of a number, multiply it by 4 and then take away 32. The answer is 48. What is my number?
  4. 4.I think of a number, multiply it by 7 and then add 8. The answer is 141. What is my number?
  5. 5.The length of a rectangle is 11 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 9 and then add 10. The answer is 253. What is my number?
  7. 7.The length of a rectangle is 3 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  8. 8.Solve for x: 5(x + 5) = x + 69. What is x?
  9. 9.The length of a rectangle is 14 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 10 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  11. 11.Meera has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  12. 12.11 × ? − 5 = 160
  13. 13.Solve for x: 8(x + 8) = 2x + 76. What is x?
  14. 14.I think of a number, multiply it by 4 and then add 39. The answer is 87. What is my number?
  15. 15.The length of a rectangle is 4 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  16. 16.Solve for x: 4(x + 1) = 2x + 40. What is x?
  17. 17.I think of a number, multiply it by 8 and then add 36. The answer is 52. What is my number?
  18. 18.A pen costs ₹6 more than a pencil. 4 pens and 7 pencils cost ₹233 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 3 and then take away 4. The answer is 44. What is my number?
  20. 20.Solve for x: 4(x + 2) = 2x + 18. What is x?
  21. 21.A pen costs ₹9 more than a pencil. 5 pens and 2 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 5 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  23. 23.Kabir has 14 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  24. 24.A pen costs ₹8 more than a pencil. 5 pens and 5 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  25. 25.A pen costs ₹3 more than a pencil. 6 pens and 8 pencils cost ₹214 in all. What does one pencil cost (in ₹)?
  26. 26.The length of a rectangle is 11 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 6 and then take away 28. The answer is 104. What is my number?
  28. 28.The length of a rectangle is 10 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  29. 29.6 × ? + 5 = 143
  30. 30.I think of a number, multiply it by 2 and then add 15. The answer is 61. What is my number?
  31. 31.12 × ? + 20 = 68
  32. 32.I think of a number, multiply it by 8 and then add 26. The answer is 210. What is my number?
  33. 33.9 × ? + 22 = 40
  34. 34.I think of a number, multiply it by 9 and then take away 6. The answer is 93. What is my number?
  35. 35.3 × ? + 5 = 74
  36. 36.A pen costs ₹13 more than a pencil. 4 pens and 8 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 9 and then take away 8. The answer is 73. What is my number?
  38. 38.Solve for x: 8(x + 9) = 4x + 152. What is x?
  39. 39.11 × ? + 24 = 156
  40. 40.A pen costs ₹12 more than a pencil. 3 pens and 5 pencils cost ₹84 in all. What does one pencil cost (in ₹)?

Answer key

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

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