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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 406 · 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.A pen costs ₹2 more than a pencil. 4 pens and 8 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 4 and then take away 19. The answer is 49. What is my number?
  3. 3.Solve for x: 5(x + 5) = 3x + 51. What is x?
  4. 4.The length of a rectangle is 9 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 6 and then add 27. The answer is 195. What is my number?
  6. 6.I think of a number, multiply it by 8 and then take away 11. The answer is 21. What is my number?
  7. 7.I think of a number, multiply it by 9 and then take away 21. The answer is 42. What is my number?
  8. 8.4 × ? − 28 = 28
  9. 9.Solve for x: 4(x + 6) = 3x + 27. What is x?
  10. 10.Solve for x: 5(x + 1) = 3x + 35. What is x?
  11. 11.Solve for x: 4(x + 4) = 2x + 30. What is x?
  12. 12.I think of a number, multiply it by 3 and then add 37. The answer is 85. What is my number?
  13. 13.The length of a rectangle is 2 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  14. 14.The length of a rectangle is 4 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  15. 15.10 × ? + 10 = 110
  16. 16.7 × ? − 7 = 84
  17. 17.A pen costs ₹14 more than a pencil. 4 pens and 5 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹6 more than a pencil. 3 pens and 4 pencils cost ₹151 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹12 more than a pencil. 2 pens and 6 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 3 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  21. 21.3 × ? − 26 = 7
  22. 22.I think of a number, multiply it by 4 and then take away 10. The answer is 102. What is my number?
  23. 23.Ananya has 25 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  24. 24.11 × ? + 22 = 286
  25. 25.A pen costs ₹8 more than a pencil. 5 pens and 5 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  26. 26.The length of a rectangle is 15 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  27. 27.Solve for x: 3(x + 1) = 2x + 22. What is x?
  28. 28.7 × ? − 13 = 29
  29. 29.A pen costs ₹2 more than a pencil. 6 pens and 3 pencils cost ₹39 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹11 more than a pencil. 2 pens and 8 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  31. 31.8 × ? − 8 = 168
  32. 32.I think of a number, multiply it by 9 and then take away 35. The answer is 37. What is my number?
  33. 33.I think of a number, multiply it by 2 and then add 10. The answer is 24. What is my number?
  34. 34.The length of a rectangle is 5 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  35. 35.I think of a number, multiply it by 7 and then add 8. The answer is 36. What is my number?
  36. 36.I think of a number, multiply it by 7 and then take away 18. The answer is 143. What is my number?
  37. 37.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  38. 38.The length of a rectangle is 12 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  39. 39.11 × ? − 13 = 53
  40. 40.A pen costs ₹5 more than a pencil. 6 pens and 5 pencils cost ₹107 in all. What does one pencil cost (in ₹)?

Answer key

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

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