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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 941 · 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. 1.11 × ? + 18 = 128
  2. 2.I think of a number, multiply it by 3 and then take away 10. The answer is 29. What is my number?
  3. 3.Solve for x: 7(x + 8) = 6x + 73. What is x?
  4. 4.Kabir has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  5. 5.A pen costs ₹6 more than a pencil. 4 pens and 3 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  6. 6.Arjun has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  7. 7.I think of a number, multiply it by 5 and then add 25. The answer is 45. What is my number?
  8. 8.I think of a number, multiply it by 2 and then add 6. The answer is 64. What is my number?
  9. 9.I think of a number, multiply it by 6 and then add 13. The answer is 43. What is my number?
  10. 10.5 × ? − 5 = 5
  11. 11.Solve for x: 4(x + 2) = x + 23. What is x?
  12. 12.8 × ? − 10 = 158
  13. 13.Solve for x: 8(x + 6) = x + 111. What is x?
  14. 14.A pen costs ₹14 more than a pencil. 6 pens and 8 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
  15. 15.A pen costs ₹7 more than a pencil. 6 pens and 6 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 4(x + 1) = x + 34. What is x?
  17. 17.I think of a number, multiply it by 6 and then take away 12. The answer is 30. What is my number?
  18. 18.I think of a number, multiply it by 6 and then add 7. The answer is 49. What is my number?
  19. 19.I think of a number, multiply it by 4 and then take away 39. The answer is 65. What is my number?
  20. 20.The length of a rectangle is 13 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  21. 21.Ananya has 15 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  22. 22.The length of a rectangle is 5 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  23. 23.Solve for x: 8(x + 6) = 2x + 54. What is x?
  24. 24.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹32 in all. What does one pencil cost (in ₹)?
  25. 25.Rahul has 14 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  26. 26.11 × ? + 19 = 129
  27. 27.Solve for x: 7(x + 2) = x + 20. What is x?
  28. 28.The length of a rectangle is 7 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  29. 29.Solve for x: 5(x + 8) = 3x + 74. What is x?
  30. 30.11 × ? − 11 = 176
  31. 31.10 × ? + 23 = 153
  32. 32.Zoya has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 4 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 6 and then take away 7. The answer is 167. What is my number?
  35. 35.I think of a number, multiply it by 3 and then take away 39. The answer is 51. What is my number?
  36. 36.3 × ? − 10 = 47
  37. 37.A pen costs ₹6 more than a pencil. 4 pens and 8 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 9 and then add 34. The answer is 124. What is my number?
  39. 39.9 × ? − 5 = 22
  40. 40.The length of a rectangle is 6 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?

Answer key

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

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