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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 936 · 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.The length of a rectangle is 15 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  2. 2.Diya has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 5 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  4. 4.A pen costs ₹8 more than a pencil. 2 pens and 7 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹6 more than a pencil. 5 pens and 3 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  6. 6.6 × ? − 11 = 103
  7. 7.12 × ? + 20 = 212
  8. 8.Rohan has 18 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  9. 9.The length of a rectangle is 7 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 2 and then take away 18. The answer is 30. What is my number?
  11. 11.Manav has 22 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  12. 12.Solve for x: 3(x + 8) = x + 64. What is x?
  13. 13.I think of a number, multiply it by 5 and then add 34. The answer is 74. What is my number?
  14. 14.I think of a number, multiply it by 5 and then add 19. The answer is 59. What is my number?
  15. 15.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  16. 16.The length of a rectangle is 2 m more than its breadth. Its perimeter is 16 m. What is its breadth (in m)?
  17. 17.The length of a rectangle is 15 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  18. 18.12 × ? − 5 = 259
  19. 19.Solve for x: 7(x + 6) = 3x + 118. What is x?
  20. 20.The length of a rectangle is 7 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  21. 21.8 × ? + 16 = 128
  22. 22.The length of a rectangle is 9 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  23. 23.12 × ? − 29 = 163
  24. 24.I think of a number, multiply it by 2 and then add 20. The answer is 30. What is my number?
  25. 25.Tara has 13 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 3 and then add 12. The answer is 42. What is my number?
  27. 27.I think of a number, multiply it by 2 and then add 7. The answer is 31. What is my number?
  28. 28.Rohan has 15 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 5 and then take away 20. The answer is 30. What is my number?
  30. 30.I think of a number, multiply it by 7 and then take away 18. The answer is 73. What is my number?
  31. 31.The length of a rectangle is 4 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  32. 32.The length of a rectangle is 11 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  33. 33.I think of a number, multiply it by 5 and then add 16. The answer is 61. What is my number?
  34. 34.The length of a rectangle is 9 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  35. 35.12 × ? − 12 = 60
  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.A pen costs ₹7 more than a pencil. 5 pens and 4 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  38. 38.4 × ? − 2 = 38
  39. 39.A pen costs ₹5 more than a pencil. 3 pens and 8 pencils cost ₹213 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 5 and then add 37. The answer is 122. What is my number?

Answer key

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

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