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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 415 · 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 ₹14 more than a pencil. 5 pens and 3 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 7 and then add 36. The answer is 148. What is my number?
  3. 3.Solve for x: 3(x + 1) = x + 23. What is x?
  4. 4.The length of a rectangle is 7 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  5. 5.3 × ? − 6 = 33
  6. 6.The length of a rectangle is 7 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  7. 7.Arjun has 16 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  8. 8.Solve for x: 7(x + 8) = 6x + 60. What is x?
  9. 9.Solve for x: 8(x + 6) = 6x + 68. What is x?
  10. 10.A pen costs ₹8 more than a pencil. 4 pens and 5 pencils cost ₹203 in all. What does one pencil cost (in ₹)?
  11. 11.The length of a rectangle is 3 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  12. 12.The length of a rectangle is 4 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 3 and then take away 7. The answer is 65. What is my number?
  14. 14.I think of a number, multiply it by 8 and then add 18. The answer is 178. What is my number?
  15. 15.A pen costs ₹12 more than a pencil. 3 pens and 8 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 3(x + 4) = x + 24. What is x?
  17. 17.I think of a number, multiply it by 9 and then take away 22. The answer is 23. What is my number?
  18. 18.I think of a number, multiply it by 5 and then take away 14. The answer is 11. What is my number?
  19. 19.I think of a number, multiply it by 6 and then add 28. The answer is 142. What is my number?
  20. 20.Priya has 30 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  22. 22.Solve for x: 8(x + 3) = 5x + 30. What is x?
  23. 23.The length of a rectangle is 10 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  24. 24.The length of a rectangle is 5 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  25. 25.I think of a number, multiply it by 3 and then add 3. The answer is 60. What is my number?
  26. 26.Solve for x: 6(x + 3) = x + 38. What is x?
  27. 27.Ananya has 30 coins, all ₹5 and ₹2 coins, worth ₹138 in all. How many ₹5 coins are there?
  28. 28.I think of a number, multiply it by 3 and then add 16. The answer is 79. What is my number?
  29. 29.I think of a number, multiply it by 9 and then add 25. The answer is 79. What is my number?
  30. 30.A pen costs ₹13 more than a pencil. 6 pens and 8 pencils cost ₹246 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹14 more than a pencil. 4 pens and 8 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 3 and then take away 4. The answer is 56. What is my number?
  33. 33.2 × ? − 7 = 17
  34. 34.The length of a rectangle is 2 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  35. 35.I think of a number, multiply it by 5 and then take away 17. The answer is 63. What is my number?
  36. 36.8 × ? + 21 = 157
  37. 37.I think of a number, multiply it by 2 and then add 8. The answer is 32. What is my number?
  38. 38.I think of a number, multiply it by 6 and then add 28. The answer is 106. What is my number?
  39. 39.A pen costs ₹7 more than a pencil. 2 pens and 5 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 7 and then add 10. The answer is 164. What is my number?

Answer key

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

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