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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 46 · 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.A pen costs ₹12 more than a pencil. 5 pens and 2 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 4 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  3. 3.Solve for x: 6(x + 2) = x + 27. What is x?
  4. 4.I think of a number, multiply it by 5 and then take away 7. The answer is 8. What is my number?
  5. 5.The length of a rectangle is 6 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  6. 6.Solve for x: 6(x + 5) = 5x + 49. What is x?
  7. 7.Solve for x: 4(x + 7) = 3x + 44. What is x?
  8. 8.I think of a number, multiply it by 3 and then add 36. The answer is 114. What is my number?
  9. 9.Solve for x: 8(x + 5) = 3x + 65. What is x?
  10. 10.I think of a number, multiply it by 2 and then add 5. The answer is 47. What is my number?
  11. 11.The length of a rectangle is 13 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  12. 12.The length of a rectangle is 12 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  13. 13.Karan has 26 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?
  14. 14.A pen costs ₹4 more than a pencil. 6 pens and 6 pencils cost ₹252 in all. What does one pencil cost (in ₹)?
  15. 15.Solve for x: 6(x + 9) = 3x + 69. What is x?
  16. 16.Solve for x: 8(x + 5) = x + 145. What is x?
  17. 17.5 × ? + 10 = 55
  18. 18.I think of a number, multiply it by 8 and then take away 16. The answer is 152. What is my number?
  19. 19.I think of a number, multiply it by 3 and then add 8. The answer is 14. What is my number?
  20. 20.I think of a number, multiply it by 9 and then take away 31. The answer is 5. What is my number?
  21. 21.The length of a rectangle is 15 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  22. 22.A pen costs ₹8 more than a pencil. 4 pens and 7 pencils cost ₹65 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 6(x + 6) = 4x + 44. What is x?
  24. 24.I think of a number, multiply it by 4 and then add 4. The answer is 36. What is my number?
  25. 25.Solve for x: 9(x + 3) = 3x + 111. What is x?
  26. 26.Solve for x: 4(x + 8) = 2x + 38. What is x?
  27. 27.11 × ? + 19 = 107
  28. 28.Saanvi has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 6 and then add 17. The answer is 71. What is my number?
  30. 30.I think of a number, multiply it by 2 and then take away 2. The answer is 40. What is my number?
  31. 31.I think of a number, multiply it by 7 and then add 26. The answer is 138. What is my number?
  32. 32.The length of a rectangle is 6 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  33. 33.7 × ? + 7 = 84
  34. 34.The length of a rectangle is 5 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  35. 35.3 × ? + 24 = 36
  36. 36.8 × ? + 27 = 139
  37. 37.I think of a number, multiply it by 3 and then add 35. The answer is 68. What is my number?
  38. 38.I think of a number, multiply it by 5 and then take away 26. The answer is 59. What is my number?
  39. 39.The length of a rectangle is 10 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 9 and then add 34. The answer is 97. What is my number?

Answer key

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

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