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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 7 · 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.The length of a rectangle is 14 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  2. 2.Solve for x: 3(x + 8) = 2x + 39. What is x?
  3. 3.I think of a number, multiply it by 3 and then add 39. The answer is 51. What is my number?
  4. 4.2 × ? − 10 = 28
  5. 5.Solve for x: 8(x + 5) = 7x + 57. What is x?
  6. 6.Solve for x: 6(x + 9) = 3x + 111. What is x?
  7. 7.The length of a rectangle is 14 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 2 and then add 13. The answer is 73. What is my number?
  9. 9.I think of a number, multiply it by 7 and then add 21. The answer is 91. What is my number?
  10. 10.Solve for x: 5(x + 7) = x + 59. What is x?
  11. 11.The length of a rectangle is 10 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  12. 12.11 × ? + 28 = 50
  13. 13.I think of a number, multiply it by 7 and then add 5. The answer is 75. What is my number?
  14. 14.A pen costs ₹14 more than a pencil. 3 pens and 5 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  15. 15.Karan has 20 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 3 and then take away 16. The answer is 41. What is my number?
  17. 17.A pen costs ₹2 more than a pencil. 5 pens and 2 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 6 and then add 32. The answer is 56. What is my number?
  19. 19.11 × ? − 8 = 267
  20. 20.Kabir has 16 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  21. 21.A pen costs ₹15 more than a pencil. 6 pens and 3 pencils cost ₹198 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 10 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  23. 23.10 × ? − 30 = 130
  24. 24.I think of a number, multiply it by 5 and then add 32. The answer is 137. What is my number?
  25. 25.The length of a rectangle is 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  26. 26.Solve for x: 3(x + 7) = 2x + 35. What is x?
  27. 27.Rahul has 17 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  28. 28.Sneha has 17 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 3 and then add 9. The answer is 81. What is my number?
  30. 30.The length of a rectangle is 11 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 9 and then add 11. The answer is 245. What is my number?
  32. 32.4 × ? + 23 = 39
  33. 33.Meera has 19 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹4 more than a pencil. 2 pens and 2 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹14 more than a pencil. 6 pens and 4 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 6 and then add 32. The answer is 62. What is my number?
  37. 37.I think of a number, multiply it by 2 and then add 15. The answer is 27. What is my number?
  38. 38.A pen costs ₹13 more than a pencil. 3 pens and 2 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  39. 39.Karan has 16 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹7 more than a pencil. 2 pens and 2 pencils cost ₹90 in all. What does one pencil cost (in ₹)?

Answer key

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

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