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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 702 · 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 ₹6 more than a pencil. 2 pens and 6 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹13 more than a pencil. 6 pens and 2 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  3. 3.Solve for x: 3(x + 9) = x + 65. What is x?
  4. 4.The length of a rectangle is 7 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  5. 5.8 × ? − 26 = 166
  6. 6.A pen costs ₹8 more than a pencil. 3 pens and 7 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹5 more than a pencil. 3 pens and 3 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  8. 8.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  9. 9.I think of a number, multiply it by 4 and then add 10. The answer is 106. What is my number?
  10. 10.Arjun has 16 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹4 more than a pencil. 5 pens and 2 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹9 more than a pencil. 4 pens and 4 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹15 more than a pencil. 3 pens and 7 pencils cost ₹215 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹6 more than a pencil. 2 pens and 7 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  15. 15.A pen costs ₹8 more than a pencil. 2 pens and 3 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 9(x + 7) = x + 119. What is x?
  17. 17.11 × ? − 1 = 54
  18. 18.I think of a number, multiply it by 3 and then take away 33. The answer is 45. What is my number?
  19. 19.The length of a rectangle is 8 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  20. 20.2 × ? + 24 = 56
  21. 21.I think of a number, multiply it by 8 and then add 36. The answer is 108. What is my number?
  22. 22.The length of a rectangle is 11 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 13 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  24. 24.12 × ? + 13 = 217
  25. 25.I think of a number, multiply it by 5 and then take away 6. The answer is 69. What is my number?
  26. 26.I think of a number, multiply it by 7 and then add 15. The answer is 71. What is my number?
  27. 27.Kabir has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  28. 28.10 × ? − 24 = 36
  29. 29.I think of a number, multiply it by 5 and then take away 8. The answer is 122. What is my number?
  30. 30.Solve for x: 8(x + 7) = x + 77. What is x?
  31. 31.I think of a number, multiply it by 8 and then take away 17. The answer is 143. What is my number?
  32. 32.I think of a number, multiply it by 8 and then add 23. The answer is 175. What is my number?
  33. 33.Farhan has 16 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹2 more than a pencil. 2 pens and 7 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  35. 35.4 × ? − 13 = 11
  36. 36.The length of a rectangle is 12 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  37. 37.8 × ? + 1 = 137
  38. 38.I think of a number, multiply it by 6 and then take away 8. The answer is 22. What is my number?
  39. 39.The length of a rectangle is 9 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  40. 40.A pen costs ₹4 more than a pencil. 2 pens and 8 pencils cost ₹78 in all. What does one pencil cost (in ₹)?

Answer key

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

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