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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 624 · 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.The length of a rectangle is 12 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  2. 2.A pen costs ₹10 more than a pencil. 5 pens and 7 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 5 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  4. 4.10 × ? − 10 = 220
  5. 5.I think of a number, multiply it by 4 and then add 10. The answer is 122. What is my number?
  6. 6.I think of a number, multiply it by 2 and then take away 33. The answer is 25. What is my number?
  7. 7.Solve for x: 6(x + 6) = 2x + 112. What is x?
  8. 8.I think of a number, multiply it by 7 and then take away 18. The answer is 38. What is my number?
  9. 9.Solve for x: 7(x + 9) = 5x + 67. What is x?
  10. 10.The length of a rectangle is 7 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  11. 11.A pen costs ₹13 more than a pencil. 6 pens and 6 pencils cost ₹318 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 9 and then add 39. The answer is 291. What is my number?
  13. 13.Kabir has 25 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 3 and then take away 36. The answer is 6. What is my number?
  15. 15.7 × ? + 21 = 112
  16. 16.I think of a number, multiply it by 8 and then take away 19. The answer is 149. What is my number?
  17. 17.Dev has 19 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹6 more than a pencil. 6 pens and 8 pencils cost ₹288 in all. What does one pencil cost (in ₹)?
  19. 19.8 × ? + 3 = 99
  20. 20.I think of a number, multiply it by 7 and then add 34. The answer is 139. What is my number?
  21. 21.Isha has 18 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  22. 22.Solve for x: 9(x + 4) = x + 52. What is x?
  23. 23.The length of a rectangle is 14 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  24. 24.Kavya has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 3 and then add 7. The answer is 34. What is my number?
  26. 26.3 × ? − 10 = 35
  27. 27.I think of a number, multiply it by 6 and then take away 5. The answer is 169. What is my number?
  28. 28.I think of a number, multiply it by 5 and then take away 14. The answer is 46. What is my number?
  29. 29.Diya has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 14 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  31. 31.A pen costs ₹15 more than a pencil. 6 pens and 8 pencils cost ₹342 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 4 and then add 27. The answer is 71. What is my number?
  33. 33.The length of a rectangle is 11 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  34. 34.A pen costs ₹15 more than a pencil. 3 pens and 5 pencils cost ₹197 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 6 and then take away 4. The answer is 38. What is my number?
  36. 36.I think of a number, multiply it by 7 and then add 39. The answer is 221. What is my number?
  37. 37.I think of a number, multiply it by 6 and then take away 37. The answer is 89. What is my number?
  38. 38.Kabir has 20 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  39. 39.5 × ? − 6 = 64
  40. 40.Solve for x: 7(x + 1) = 6x + 11. What is x?

Answer key

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

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