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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 18 · 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.I think of a number, multiply it by 3 and then take away 19. The answer is 5. What is my number?
  2. 2.Solve for x: 5(x + 5) = 3x + 45. What is x?
  3. 3.Aditya has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  4. 4.Ishaan has 17 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  5. 5.Nisha has 14 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 4 and then take away 39. The answer is 45. What is my number?
  7. 7.The length of a rectangle is 6 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 4 and then add 14. The answer is 22. What is my number?
  9. 9.The length of a rectangle is 6 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  10. 10.A pen costs ₹5 more than a pencil. 5 pens and 3 pencils cost ₹153 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 5 and then take away 39. The answer is 66. What is my number?
  12. 12.A pen costs ₹6 more than a pencil. 2 pens and 6 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  13. 13.2 × ? + 18 = 62
  14. 14.Solve for x: 4(x + 7) = x + 88. What is x?
  15. 15.Diya has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  16. 16.The length of a rectangle is 10 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  17. 17.Solve for x: 3(x + 7) = 2x + 23. What is x?
  18. 18.The length of a rectangle is 3 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  19. 19.Solve for x: 8(x + 5) = 4x + 44. What is x?
  20. 20.Farhan has 13 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  21. 21.A pen costs ₹3 more than a pencil. 4 pens and 7 pencils cost ₹155 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹5 more than a pencil. 6 pens and 4 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 7(x + 3) = 6x + 40. What is x?
  24. 24.I think of a number, multiply it by 9 and then add 34. The answer is 52. What is my number?
  25. 25.A pen costs ₹3 more than a pencil. 2 pens and 5 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 2 and then add 34. The answer is 54. What is my number?
  27. 27.I think of a number, multiply it by 3 and then add 40. The answer is 76. What is my number?
  28. 28.12 × ? − 15 = 141
  29. 29.A pen costs ₹11 more than a pencil. 6 pens and 3 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  30. 30.12 × ? + 7 = 187
  31. 31.4 × ? + 16 = 48
  32. 32.I think of a number, multiply it by 4 and then take away 23. The answer is 85. What is my number?
  33. 33.A pen costs ₹12 more than a pencil. 3 pens and 8 pencils cost ₹223 in all. What does one pencil cost (in ₹)?
  34. 34.Sneha has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹12 more than a pencil. 2 pens and 2 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 7(x + 4) = 2x + 83. What is x?
  37. 37.4 × ? + 20 = 32
  38. 38.I think of a number, multiply it by 2 and then take away 7. The answer is 35. What is my number?
  39. 39.Solve for x: 9(x + 2) = 3x + 60. What is x?
  40. 40.3 × ? + 8 = 35

Answer key

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

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