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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 185 · 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.

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  1. 1.I think of a number, multiply it by 8 and then add 16. The answer is 144. What is my number?
  2. 2.Solve for x: 7(x + 8) = 6x + 60. What is x?
  3. 3.The length of a rectangle is 7 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  4. 4.Solve for x: 5(x + 6) = 4x + 37. What is x?
  5. 5.A pen costs ₹8 more than a pencil. 6 pens and 5 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 8(x + 3) = 3x + 69. What is x?
  7. 7.Solve for x: 7(x + 5) = 6x + 43. What is x?
  8. 8.Solve for x: 6(x + 4) = 3x + 57. What is x?
  9. 9.A pen costs ₹3 more than a pencil. 6 pens and 5 pencils cost ₹205 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹10 more than a pencil. 3 pens and 7 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  11. 11.Sneha has 13 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  12. 12.Manav has 16 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  13. 13.A pen costs ₹12 more than a pencil. 5 pens and 4 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹14 more than a pencil. 5 pens and 4 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 7 and then take away 10. The answer is 130. What is my number?
  16. 16.4 × ? − 10 = 54
  17. 17.I think of a number, multiply it by 3 and then take away 36. The answer is 6. What is my number?
  18. 18.Solve for x: 4(x + 8) = 2x + 48. What is x?
  19. 19.I think of a number, multiply it by 6 and then add 18. The answer is 48. What is my number?
  20. 20.Kavya has 20 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  21. 21.Aditya has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  22. 22.8 × ? − 27 = 5
  23. 23.Solve for x: 5(x + 5) = x + 101. What is x?
  24. 24.I think of a number, multiply it by 4 and then take away 34. The answer is 78. What is my number?
  25. 25.The length of a rectangle is 14 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  26. 26.Ananya has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 8(x + 3) = 6x + 38. What is x?
  28. 28.Diya has 20 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  29. 29.Rohan has 30 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹15 more than a pencil. 4 pens and 4 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 3 and then add 2. The answer is 92. What is my number?
  32. 32.Solve for x: 3(x + 5) = 2x + 24. What is x?
  33. 33.Solve for x: 6(x + 7) = 4x + 80. What is x?
  34. 34.A pen costs ₹7 more than a pencil. 3 pens and 4 pencils cost ₹161 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹4 more than a pencil. 3 pens and 5 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹13 more than a pencil. 5 pens and 8 pencils cost ₹195 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 5 and then add 5. The answer is 140. What is my number?
  38. 38.I think of a number, multiply it by 2 and then add 36. The answer is 66. What is my number?
  39. 39.The length of a rectangle is 14 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  40. 40.Pooja has 23 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?

Answer key

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

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