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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 61 · 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.Aarav has 25 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  2. 2.The length of a rectangle is 15 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  3. 3.I think of a number, multiply it by 4 and then take away 7. The answer is 97. What is my number?
  4. 4.A pen costs ₹8 more than a pencil. 3 pens and 5 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 3 and then take away 3. The answer is 84. What is my number?
  6. 6.The length of a rectangle is 6 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  7. 7.A pen costs ₹4 more than a pencil. 2 pens and 5 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  8. 8.7 × ? − 4 = 73
  9. 9.I think of a number, multiply it by 6 and then add 29. The answer is 107. What is my number?
  10. 10.Dev has 17 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  11. 11.Meera has 22 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  12. 12.The length of a rectangle is 4 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 5 and then add 20. The answer is 90. What is my number?
  14. 14.I think of a number, multiply it by 3 and then add 1. The answer is 91. What is my number?
  15. 15.I think of a number, multiply it by 7 and then take away 21. The answer is 63. What is my number?
  16. 16.Solve for x: 9(x + 6) = 7x + 78. What is x?
  17. 17.The length of a rectangle is 11 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  18. 18.Solve for x: 5(x + 6) = x + 50. What is x?
  19. 19.Solve for x: 4(x + 7) = x + 64. What is x?
  20. 20.6 × ? − 7 = 59
  21. 21.Solve for x: 3(x + 9) = x + 29. What is x?
  22. 22.12 × ? − 29 = 187
  23. 23.I think of a number, multiply it by 7 and then add 3. The answer is 31. What is my number?
  24. 24.I think of a number, multiply it by 9 and then take away 39. The answer is 168. What is my number?
  25. 25.2 × ? − 30 = 2
  26. 26.11 × ? − 9 = 200
  27. 27.Kavya has 29 coins, all ₹5 and ₹2 coins, worth ₹121 in all. How many ₹5 coins are there?
  28. 28.Saanvi has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  29. 29.The length of a rectangle is 8 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  30. 30.12 × ? − 2 = 274
  31. 31.Solve for x: 9(x + 2) = 3x + 54. What is x?
  32. 32.Farhan has 22 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 7 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  34. 34.A pen costs ₹15 more than a pencil. 4 pens and 7 pencils cost ₹115 in all. What does one pencil cost (in ₹)?
  35. 35.Aarav has 24 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 5 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 11 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 3 and then take away 14. The answer is 73. What is my number?
  39. 39.I think of a number, multiply it by 3 and then take away 37. The answer is 41. What is my number?
  40. 40.The length of a rectangle is 15 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?

Answer key

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

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