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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 656 · 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 ₹2 more than a pencil. 6 pens and 5 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 7 and then add 37. The answer is 51. What is my number?
  3. 3.3 × ? + 22 = 85
  4. 4.Solve for x: 4(x + 5) = x + 23. What is x?
  5. 5.I think of a number, multiply it by 9 and then add 4. The answer is 175. What is my number?
  6. 6.Solve for x: 7(x + 5) = 2x + 55. What is x?
  7. 7.9 × ? + 1 = 55
  8. 8.Rahul has 10 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  9. 9.4 × ? + 23 = 99
  10. 10.I think of a number, multiply it by 7 and then add 17. The answer is 31. What is my number?
  11. 11.I think of a number, multiply it by 7 and then add 7. The answer is 196. What is my number?
  12. 12.I think of a number, multiply it by 2 and then take away 23. The answer is 23. What is my number?
  13. 13.12 × ? + 9 = 153
  14. 14.Solve for x: 6(x + 6) = 2x + 84. What is x?
  15. 15.Saanvi has 30 coins, all ₹5 and ₹2 coins, worth ₹141 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 3 and then add 39. The answer is 117. What is my number?
  17. 17.The length of a rectangle is 6 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  18. 18.The length of a rectangle is 9 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  19. 19.I think of a number, multiply it by 6 and then add 10. The answer is 112. What is my number?
  20. 20.Ishaan has 18 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 8 and then add 33. The answer is 161. What is my number?
  22. 22.I think of a number, multiply it by 5 and then take away 34. The answer is 61. What is my number?
  23. 23.Solve for x: 5(x + 9) = 4x + 53. What is x?
  24. 24.I think of a number, multiply it by 7 and then add 27. The answer is 69. What is my number?
  25. 25.Vivaan has 20 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  26. 26.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  27. 27.The length of a rectangle is 3 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  28. 28.11 × ? − 26 = 95
  29. 29.4 × ? − 22 = 38
  30. 30.4 × ? − 3 = 97
  31. 31.Ananya has 23 coins, all ₹5 and ₹2 coins, worth ₹100 in all. How many ₹5 coins are there?
  32. 32.10 × ? − 22 = 118
  33. 33.Solve for x: 9(x + 7) = 3x + 81. What is x?
  34. 34.Solve for x: 7(x + 5) = 5x + 75. What is x?
  35. 35.Ananya has 14 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  36. 36.A pen costs ₹12 more than a pencil. 2 pens and 3 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  37. 37.Rohan has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  38. 38.2 × ? − 3 = 37
  39. 39.The length of a rectangle is 7 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  40. 40.5 × ? − 29 = 76

Answer key

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

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