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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 837 · 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 7 and then take away 18. The answer is 73. What is my number?
  2. 2.I think of a number, multiply it by 7 and then add 40. The answer is 82. What is my number?
  3. 3.A pen costs ₹4 more than a pencil. 6 pens and 7 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 7 and then add 1. The answer is 204. What is my number?
  5. 5.The length of a rectangle is 7 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  6. 6.The length of a rectangle is 9 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 7 and then take away 34. The answer is 169. What is my number?
  8. 8.I think of a number, multiply it by 9 and then take away 3. The answer is 69. What is my number?
  9. 9.The length of a rectangle is 4 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 10 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 6 and then add 10. The answer is 172. What is my number?
  12. 12.Solve for x: 7(x + 2) = 4x + 74. What is x?
  13. 13.The length of a rectangle is 13 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  14. 14.Solve for x: 7(x + 1) = 3x + 23. What is x?
  15. 15.8 × ? + 23 = 79
  16. 16.Kabir has 29 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  17. 17.12 × ? − 4 = 56
  18. 18.Solve for x: 7(x + 6) = 6x + 61. What is x?
  19. 19.A pen costs ₹13 more than a pencil. 4 pens and 7 pencils cost ₹272 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹6 more than a pencil. 3 pens and 5 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹5 more than a pencil. 6 pens and 5 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  22. 22.Solve for x: 5(x + 2) = 3x + 34. What is x?
  23. 23.8 × ? − 12 = 156
  24. 24.I think of a number, multiply it by 8 and then add 37. The answer is 213. What is my number?
  25. 25.A pen costs ₹9 more than a pencil. 2 pens and 6 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 8 and then add 30. The answer is 46. What is my number?
  27. 27.I think of a number, multiply it by 2 and then take away 9. The answer is 1. What is my number?
  28. 28.Meera has 21 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 9 and then add 33. The answer is 231. What is my number?
  30. 30.Solve for x: 3(x + 9) = 2x + 37. What is x?
  31. 31.The length of a rectangle is 10 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  32. 32.Solve for x: 4(x + 9) = 3x + 40. What is x?
  33. 33.The length of a rectangle is 4 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  34. 34.Solve for x: 3(x + 1) = 2x + 6. What is x?
  35. 35.9 × ? − 3 = 24
  36. 36.Aarav has 21 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  37. 37.6 × ? + 12 = 126
  38. 38.Tara has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  39. 39.A pen costs ₹9 more than a pencil. 3 pens and 2 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 4 and then add 12. The answer is 72. What is my number?

Answer key

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

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