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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 391 · 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. 1.9 × ? − 19 = 152
  2. 2.Solve for x: 4(x + 4) = x + 40. What is x?
  3. 3.I think of a number, multiply it by 7 and then add 23. The answer is 156. What is my number?
  4. 4.Rohan has 10 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  5. 5.I think of a number, multiply it by 3 and then take away 20. The answer is 22. What is my number?
  6. 6.2 × ? − 7 = 7
  7. 7.A pen costs ₹4 more than a pencil. 5 pens and 3 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 7 and then take away 9. The answer is 201. What is my number?
  9. 9.The length of a rectangle is 14 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 5 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 6 and then add 17. The answer is 179. What is my number?
  12. 12.Solve for x: 6(x + 4) = 3x + 48. What is x?
  13. 13.Solve for x: 9(x + 3) = 6x + 81. What is x?
  14. 14.The length of a rectangle is 14 m more than its breadth. Its perimeter is 148 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 5 and then take away 7. The answer is 23. What is my number?
  16. 16.4 × ? + 17 = 49
  17. 17.A pen costs ₹7 more than a pencil. 6 pens and 3 pencils cost ₹177 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 5 and then add 36. The answer is 171. What is my number?
  19. 19.Dev has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  20. 20.I think of a number, multiply it by 9 and then take away 5. The answer is 247. What is my number?
  21. 21.I think of a number, multiply it by 7 and then take away 27. The answer is 141. What is my number?
  22. 22.9 × ? − 27 = 27
  23. 23.2 × ? + 30 = 54
  24. 24.Solve for x: 4(x + 8) = 3x + 40. What is x?
  25. 25.Solve for x: 9(x + 3) = 4x + 97. What is x?
  26. 26.Solve for x: 6(x + 4) = 2x + 80. What is x?
  27. 27.Karan has 14 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  28. 28.Solve for x: 7(x + 5) = 2x + 85. What is x?
  29. 29.4 × ? + 22 = 62
  30. 30.I think of a number, multiply it by 4 and then add 23. The answer is 87. What is my number?
  31. 31.Ananya has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  32. 32.9 × ? − 27 = 198
  33. 33.Solve for x: 9(x + 1) = 5x + 69. What is x?
  34. 34.I think of a number, multiply it by 7 and then add 26. The answer is 187. What is my number?
  35. 35.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  36. 36.The length of a rectangle is 11 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  37. 37.Arjun has 17 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹14 more than a pencil. 5 pens and 6 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  39. 39.The length of a rectangle is 5 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  40. 40.A pen costs ₹11 more than a pencil. 2 pens and 8 pencils cost ₹172 in all. What does one pencil cost (in ₹)?

Answer key

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

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