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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 339 · 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 13 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 3 and then add 23. The answer is 62. What is my number?
  3. 3.Solve for x: 8(x + 9) = x + 135. What is x?
  4. 4.The length of a rectangle is 5 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  5. 5.A pen costs ₹11 more than a pencil. 5 pens and 7 pencils cost ₹283 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 4 and then add 6. The answer is 30. What is my number?
  7. 7.Solve for x: 9(x + 3) = 3x + 117. What is x?
  8. 8.The length of a rectangle is 2 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  9. 9.A pen costs ₹5 more than a pencil. 2 pens and 3 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  10. 10.4 × ? − 7 = 69
  11. 11.5 × ? − 4 = 51
  12. 12.The length of a rectangle is 11 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  13. 13.11 × ? − 25 = 74
  14. 14.I think of a number, multiply it by 4 and then take away 3. The answer is 53. What is my number?
  15. 15.I think of a number, multiply it by 4 and then take away 37. The answer is 55. What is my number?
  16. 16.I think of a number, multiply it by 7 and then take away 16. The answer is 75. What is my number?
  17. 17.The length of a rectangle is 13 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 7 and then add 5. The answer is 61. What is my number?
  19. 19.I think of a number, multiply it by 9 and then add 17. The answer is 170. What is my number?
  20. 20.The length of a rectangle is 8 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 3 and then add 10. The answer is 61. What is my number?
  22. 22.The length of a rectangle is 5 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 13 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  24. 24.2 × ? − 6 = 32
  25. 25.I think of a number, multiply it by 7 and then take away 18. The answer is 171. What is my number?
  26. 26.A pen costs ₹3 more than a pencil. 4 pens and 4 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 6(x + 9) = 4x + 56. What is x?
  28. 28.9 × ? − 17 = 91
  29. 29.Kavya has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹15 more than a pencil. 5 pens and 6 pencils cost ₹218 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹15 more than a pencil. 2 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 11 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  33. 33.I think of a number, multiply it by 8 and then take away 39. The answer is 177. What is my number?
  34. 34.The length of a rectangle is 8 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  35. 35.I think of a number, multiply it by 6 and then take away 32. The answer is 10. What is my number?
  36. 36.2 × ? + 17 = 27
  37. 37.Kabir has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹14 more than a pencil. 6 pens and 7 pencils cost ₹175 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 2 and then add 38. The answer is 96. What is my number?
  40. 40.Arjun has 29 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?

Answer key

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

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