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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 20 · 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 4 and then add 12. The answer is 88. What is my number?
  2. 2.I think of a number, multiply it by 4 and then take away 8. The answer is 28. What is my number?
  3. 3.A pen costs ₹6 more than a pencil. 3 pens and 5 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 4(x + 4) = x + 67. What is x?
  5. 5.Diya has 23 coins, all ₹5 and ₹2 coins, worth ₹112 in all. How many ₹5 coins are there?
  6. 6.A pen costs ₹12 more than a pencil. 5 pens and 6 pencils cost ₹236 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹6 more than a pencil. 4 pens and 8 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  8. 8.4 × ? − 29 = 39
  9. 9.Priya has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  10. 10.The length of a rectangle is 8 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  11. 11.Karan has 29 coins, all ₹5 and ₹2 coins, worth ₹136 in all. How many ₹5 coins are there?
  12. 12.The length of a rectangle is 12 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  13. 13.Dev has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  14. 14.4 × ? + 21 = 97
  15. 15.A pen costs ₹15 more than a pencil. 2 pens and 4 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  16. 16.The length of a rectangle is 10 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  17. 17.The length of a rectangle is 13 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 4 and then add 30. The answer is 70. What is my number?
  19. 19.A pen costs ₹14 more than a pencil. 5 pens and 4 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 14 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  21. 21.Solve for x: 4(x + 9) = x + 72. What is x?
  22. 22.I think of a number, multiply it by 6 and then add 12. The answer is 156. What is my number?
  23. 23.The length of a rectangle is 4 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  24. 24.Solve for x: 4(x + 1) = 3x + 10. What is x?
  25. 25.3 × ? + 26 = 83
  26. 26.Sneha has 16 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 5(x + 8) = x + 116. What is x?
  28. 28.A pen costs ₹9 more than a pencil. 3 pens and 4 pencils cost ₹125 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 3(x + 7) = 2x + 23. What is x?
  30. 30.A pen costs ₹14 more than a pencil. 2 pens and 4 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  31. 31.2 × ? − 8 = 26
  32. 32.Pooja has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  33. 33.I think of a number, multiply it by 8 and then take away 22. The answer is 186. What is my number?
  34. 34.The length of a rectangle is 11 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  35. 35.8 × ? + 21 = 61
  36. 36.10 × ? + 21 = 141
  37. 37.Solve for x: 8(x + 4) = x + 39. What is x?
  38. 38.I think of a number, multiply it by 6 and then add 21. The answer is 147. What is my number?
  39. 39.Saanvi has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  40. 40.10 × ? − 13 = 27

Answer key

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

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