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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 41 · 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 5 and then take away 13. The answer is 17. What is my number?
  2. 2.A pen costs ₹13 more than a pencil. 3 pens and 5 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  3. 3.Diya has 16 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  4. 4.Solve for x: 5(x + 3) = x + 63. What is x?
  5. 5.The length of a rectangle is 3 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  6. 6.The length of a rectangle is 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 7 and then add 30. The answer is 128. What is my number?
  8. 8.Solve for x: 3(x + 4) = 2x + 31. What is x?
  9. 9.Solve for x: 3(x + 6) = 2x + 36. What is x?
  10. 10.Saanvi has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  11. 11.The length of a rectangle is 5 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  12. 12.Rohan has 24 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  13. 13.Saanvi has 25 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  14. 14.7 × ? + 7 = 49
  15. 15.Aarav has 27 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 5 and then take away 3. The answer is 32. What is my number?
  17. 17.A pen costs ₹4 more than a pencil. 3 pens and 3 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹2 more than a pencil. 5 pens and 3 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 9(x + 5) = x + 149. What is x?
  20. 20.A pen costs ₹8 more than a pencil. 4 pens and 5 pencils cost ₹59 in all. What does one pencil cost (in ₹)?
  21. 21.Kavya has 26 coins, all ₹5 and ₹2 coins, worth ₹124 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹4 more than a pencil. 6 pens and 2 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 9 and then add 2. The answer is 272. What is my number?
  24. 24.Rahul has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  26. 26.A pen costs ₹6 more than a pencil. 5 pens and 2 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 4 and then add 3. The answer is 51. What is my number?
  28. 28.Solve for x: 9(x + 7) = 2x + 105. What is x?
  29. 29.The length of a rectangle is 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  30. 30.Tara has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 5 and then take away 17. The answer is 23. What is my number?
  32. 32.The length of a rectangle is 9 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  33. 33.I think of a number, multiply it by 3 and then add 33. The answer is 54. What is my number?
  34. 34.Aarav has 29 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 8 and then take away 30. The answer is 42. What is my number?
  36. 36.Zoya has 25 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 7 and then add 9. The answer is 163. What is my number?
  38. 38.Manav has 14 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  39. 39.I think of a number, multiply it by 5 and then add 26. The answer is 116. What is my number?
  40. 40.I think of a number, multiply it by 6 and then add 21. The answer is 51. What is my number?

Answer key

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

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