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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 375 · 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.I think of a number, multiply it by 7 and then add 9. The answer is 100. What is my number?
  2. 2.I think of a number, multiply it by 9 and then add 24. The answer is 51. What is my number?
  3. 3.The length of a rectangle is 2 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 11 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 5 and then add 9. The answer is 109. What is my number?
  6. 6.Solve for x: 4(x + 1) = 2x + 42. What is x?
  7. 7.Priya has 19 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 3 and then take away 13. The answer is 44. What is my number?
  9. 9.A pen costs ₹4 more than a pencil. 5 pens and 6 pencils cost ₹240 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹15 more than a pencil. 4 pens and 3 pencils cost ₹179 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 3(x + 5) = x + 47. What is x?
  12. 12.The length of a rectangle is 5 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  13. 13.The length of a rectangle is 10 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  14. 14.The length of a rectangle is 11 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 6 and then take away 14. The answer is 118. What is my number?
  16. 16.2 × ? + 5 = 13
  17. 17.6 × ? − 20 = 70
  18. 18.A pen costs ₹5 more than a pencil. 2 pens and 3 pencils cost ₹45 in all. What does one pencil cost (in ₹)?
  19. 19.2 × ? + 2 = 28
  20. 20.Solve for x: 3(x + 3) = 2x + 23. What is x?
  21. 21.A pen costs ₹15 more than a pencil. 3 pens and 4 pencils cost ₹73 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 7 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  23. 23.Nisha has 27 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  24. 24.Sneha has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 5 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  26. 26.4 × ? + 14 = 114
  27. 27.I think of a number, multiply it by 9 and then take away 1. The answer is 116. What is my number?
  28. 28.A pen costs ₹2 more than a pencil. 5 pens and 6 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 8(x + 8) = 3x + 119. What is x?
  30. 30.I think of a number, multiply it by 3 and then add 33. The answer is 75. What is my number?
  31. 31.I think of a number, multiply it by 2 and then add 5. The answer is 61. What is my number?
  32. 32.12 × ? − 21 = 75
  33. 33.The length of a rectangle is 9 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  34. 34.2 × ? − 22 = 16
  35. 35.Aditya has 23 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?
  36. 36.Solve for x: 9(x + 9) = 3x + 141. What is x?
  37. 37.A pen costs ₹9 more than a pencil. 5 pens and 5 pencils cost ₹175 in all. What does one pencil cost (in ₹)?
  38. 38.A pen costs ₹3 more than a pencil. 2 pens and 7 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  39. 39.6 × ? + 10 = 22
  40. 40.I think of a number, multiply it by 3 and then add 29. The answer is 59. What is my number?

Answer key

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

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