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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 727 · 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.I think of a number, multiply it by 6 and then add 18. The answer is 48. What is my number?
  2. 2.I think of a number, multiply it by 4 and then add 40. The answer is 68. What is my number?
  3. 3.I think of a number, multiply it by 9 and then take away 1. The answer is 80. What is my number?
  4. 4.The length of a rectangle is 5 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  5. 5.11 × ? + 30 = 140
  6. 6.I think of a number, multiply it by 5 and then add 16. The answer is 101. What is my number?
  7. 7.I think of a number, multiply it by 3 and then add 39. The answer is 72. What is my number?
  8. 8.Solve for x: 4(x + 1) = 2x + 36. What is x?
  9. 9.7 × ? + 27 = 76
  10. 10.Karan has 25 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  11. 11.I think of a number, multiply it by 2 and then add 19. The answer is 49. What is my number?
  12. 12.I think of a number, multiply it by 5 and then take away 9. The answer is 106. What is my number?
  13. 13.Saanvi has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  14. 14.Rahul has 27 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 10 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  16. 16.Manav has 27 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  17. 17.5 × ? − 6 = 24
  18. 18.Manav has 10 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  19. 19.5 × ? − 8 = 97
  20. 20.The length of a rectangle is 14 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  21. 21.Solve for x: 6(x + 5) = 2x + 34. What is x?
  22. 22.A pen costs ₹10 more than a pencil. 6 pens and 3 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  23. 23.3 × ? + 10 = 19
  24. 24.Solve for x: 8(x + 3) = 3x + 114. What is x?
  25. 25.3 × ? − 8 = 13
  26. 26.10 × ? − 16 = 184
  27. 27.8 × ? + 20 = 124
  28. 28.I think of a number, multiply it by 3 and then add 3. The answer is 27. What is my number?
  29. 29.The length of a rectangle is 11 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  30. 30.Solve for x: 6(x + 3) = 5x + 37. What is x?
  31. 31.A pen costs ₹6 more than a pencil. 6 pens and 6 pencils cost ₹264 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 2 and then add 31. The answer is 39. What is my number?
  33. 33.2 × ? − 27 = 15
  34. 34.I think of a number, multiply it by 8 and then take away 18. The answer is 214. What is my number?
  35. 35.I think of a number, multiply it by 2 and then take away 21. The answer is 27. What is my number?
  36. 36.8 × ? − 12 = 140
  37. 37.A pen costs ₹15 more than a pencil. 2 pens and 7 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 8(x + 6) = 6x + 54. What is x?
  39. 39.The length of a rectangle is 4 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 8 and then add 20. The answer is 228. What is my number?

Answer key

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

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