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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 402 · 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 7 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 3 and then add 16. The answer is 73. What is my number?
  3. 3.12 × ? − 30 = 186
  4. 4.Diya has 14 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  5. 5.I think of a number, multiply it by 2 and then add 26. The answer is 60. What is my number?
  6. 6.I think of a number, multiply it by 7 and then take away 35. The answer is 56. What is my number?
  7. 7.Pooja has 25 coins, all ₹5 and ₹2 coins, worth ₹113 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 5 and then add 16. The answer is 91. What is my number?
  9. 9.A pen costs ₹12 more than a pencil. 6 pens and 6 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 6 and then take away 33. The answer is 33. What is my number?
  11. 11.I think of a number, multiply it by 3 and then add 4. The answer is 22. What is my number?
  12. 12.Priya has 20 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  13. 13.The length of a rectangle is 14 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 3 and then add 7. The answer is 43. What is my number?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  16. 16.The length of a rectangle is 14 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 4 and then add 9. The answer is 45. What is my number?
  18. 18.I think of a number, multiply it by 3 and then add 27. The answer is 87. What is my number?
  19. 19.I think of a number, multiply it by 7 and then add 27. The answer is 132. What is my number?
  20. 20.A pen costs ₹12 more than a pencil. 6 pens and 8 pencils cost ₹338 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹14 more than a pencil. 5 pens and 2 pencils cost ₹203 in all. What does one pencil cost (in ₹)?
  22. 22.Solve for x: 9(x + 3) = 7x + 31. What is x?
  23. 23.Solve for x: 5(x + 7) = 4x + 55. What is x?
  24. 24.A pen costs ₹11 more than a pencil. 6 pens and 2 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  25. 25.The length of a rectangle is 9 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  26. 26.Solve for x: 6(x + 6) = 2x + 52. What is x?
  27. 27.I think of a number, multiply it by 8 and then take away 38. The answer is 10. What is my number?
  28. 28.Zoya has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 8 and then take away 12. The answer is 92. What is my number?
  30. 30.I think of a number, multiply it by 3 and then take away 10. The answer is 26. What is my number?
  31. 31.The length of a rectangle is 2 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  32. 32.I think of a number, multiply it by 3 and then take away 5. The answer is 70. What is my number?
  33. 33.I think of a number, multiply it by 8 and then take away 7. The answer is 113. What is my number?
  34. 34.A pen costs ₹3 more than a pencil. 2 pens and 4 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹2 more than a pencil. 2 pens and 6 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 6(x + 2) = x + 22. What is x?
  37. 37.Solve for x: 7(x + 5) = 4x + 38. What is x?
  38. 38.Solve for x: 4(x + 7) = 3x + 44. What is x?
  39. 39.A pen costs ₹2 more than a pencil. 2 pens and 4 pencils cost ₹22 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹10 more than a pencil. 3 pens and 2 pencils cost ₹120 in all. What does one pencil cost (in ₹)?

Answer key

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

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