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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 443 · 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.

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  1. 1.3 × ? + 4 = 64
  2. 2.Solve for x: 6(x + 9) = 3x + 111. What is x?
  3. 3.The length of a rectangle is 12 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  4. 4.A pen costs ₹2 more than a pencil. 3 pens and 3 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹8 more than a pencil. 2 pens and 5 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  6. 6.Nisha has 19 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹8 more than a pencil. 3 pens and 6 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹6 more than a pencil. 3 pens and 4 pencils cost ₹53 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 2 and then add 29. The answer is 79. What is my number?
  10. 10.The length of a rectangle is 15 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  11. 11.Aditya has 25 coins, all ₹5 and ₹2 coins, worth ₹116 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹5 more than a pencil. 5 pens and 5 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹14 more than a pencil. 4 pens and 3 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  14. 14.8 × ? + 1 = 57
  15. 15.A pen costs ₹5 more than a pencil. 4 pens and 4 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 3(x + 4) = 2x + 32. What is x?
  17. 17.A pen costs ₹4 more than a pencil. 4 pens and 2 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  19. 19.Diya has 29 coins, all ₹5 and ₹2 coins, worth ₹118 in all. How many ₹5 coins are there?
  20. 20.7 × ? − 3 = 165
  21. 21.4 × ? + 25 = 121
  22. 22.Solve for x: 5(x + 7) = x + 87. What is x?
  23. 23.I think of a number, multiply it by 5 and then add 15. The answer is 115. What is my number?
  24. 24.3 × ? + 25 = 34
  25. 25.I think of a number, multiply it by 3 and then take away 19. The answer is 65. What is my number?
  26. 26.The length of a rectangle is 9 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  27. 27.2 × ? + 10 = 60
  28. 28.Ananya has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 5 and then take away 5. The answer is 140. What is my number?
  30. 30.Solve for x: 4(x + 5) = x + 77. What is x?
  31. 31.Aarav has 26 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹9 more than a pencil. 6 pens and 5 pencils cost ₹274 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 9 and then add 24. The answer is 141. What is my number?
  34. 34.Tara has 13 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  35. 35.The length of a rectangle is 4 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  36. 36.Tara has 20 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  37. 37.A pen costs ₹11 more than a pencil. 5 pens and 8 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  38. 38.Rahul has 15 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  39. 39.I think of a number, multiply it by 2 and then add 28. The answer is 76. What is my number?
  40. 40.The length of a rectangle is 14 m more than its breadth. Its perimeter is 148 m. What is its breadth (in m)?

Answer key

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

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