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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 793 · 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. 1.10 × ? − 13 = 187
  2. 2.The length of a rectangle is 12 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  3. 3.I think of a number, multiply it by 3 and then add 4. The answer is 70. What is my number?
  4. 4.Solve for x: 5(x + 7) = 3x + 55. What is x?
  5. 5.A pen costs ₹2 more than a pencil. 5 pens and 6 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  6. 6.12 × ? − 10 = 74
  7. 7.The length of a rectangle is 15 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  8. 8.Solve for x: 5(x + 3) = 2x + 24. What is x?
  9. 9.The length of a rectangle is 9 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 8 and then add 2. The answer is 26. What is my number?
  11. 11.Solve for x: 4(x + 2) = 2x + 24. What is x?
  12. 12.Priya has 30 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
  13. 13.8 × ? − 16 = 160
  14. 14.The length of a rectangle is 11 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  15. 15.5 × ? + 29 = 94
  16. 16.The length of a rectangle is 5 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  17. 17.A pen costs ₹11 more than a pencil. 2 pens and 3 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 8 and then take away 17. The answer is 71. What is my number?
  19. 19.The length of a rectangle is 11 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  20. 20.Solve for x: 6(x + 6) = 2x + 88. What is x?
  21. 21.Solve for x: 3(x + 1) = 2x + 10. What is x?
  22. 22.I think of a number, multiply it by 4 and then take away 39. The answer is 17. What is my number?
  23. 23.A pen costs ₹3 more than a pencil. 6 pens and 5 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  24. 24.Solve for x: 5(x + 2) = 2x + 43. What is x?
  25. 25.I think of a number, multiply it by 6 and then take away 1. The answer is 167. What is my number?
  26. 26.I think of a number, multiply it by 8 and then add 6. The answer is 38. What is my number?
  27. 27.The length of a rectangle is 5 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  28. 28.The length of a rectangle is 3 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  29. 29.9 × ? + 23 = 68
  30. 30.Kabir has 16 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  32. 32.3 × ? − 2 = 73
  33. 33.I think of a number, multiply it by 4 and then take away 2. The answer is 106. What is my number?
  34. 34.Tara has 28 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  35. 35.2 × ? + 25 = 33
  36. 36.A pen costs ₹2 more than a pencil. 4 pens and 6 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 9 and then add 28. The answer is 235. What is my number?
  38. 38.Manav has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  39. 39.Nisha has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  40. 40.Solve for x: 8(x + 5) = 7x + 48. What is x?

Answer key

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

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