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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 683 · 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 3 and then take away 20. The answer is 19. What is my number?
  2. 2.Isha has 21 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 8 and then add 38. The answer is 166. What is my number?
  4. 4.Isha has 14 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  5. 5.Solve for x: 6(x + 2) = 2x + 68. What is x?
  6. 6.Solve for x: 5(x + 3) = 3x + 27. What is x?
  7. 7.I think of a number, multiply it by 4 and then add 11. The answer is 115. What is my number?
  8. 8.The length of a rectangle is 13 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  9. 9.I think of a number, multiply it by 9 and then add 19. The answer is 46. What is my number?
  10. 10.A pen costs ₹5 more than a pencil. 3 pens and 8 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 8 and then take away 12. The answer is 12. What is my number?
  12. 12.I think of a number, multiply it by 2 and then take away 11. The answer is 31. What is my number?
  13. 13.I think of a number, multiply it by 3 and then take away 27. The answer is 12. What is my number?
  14. 14.The length of a rectangle is 7 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  15. 15.Solve for x: 3(x + 5) = 2x + 21. What is x?
  16. 16.Kavya has 30 coins, all ₹5 and ₹2 coins, worth ₹141 in all. How many ₹5 coins are there?
  17. 17.Solve for x: 4(x + 6) = x + 78. What is x?
  18. 18.A pen costs ₹12 more than a pencil. 4 pens and 3 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 4(x + 8) = 2x + 60. What is x?
  20. 20.Rahul has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 5 and then add 25. The answer is 40. What is my number?
  22. 22.A pen costs ₹12 more than a pencil. 3 pens and 5 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  23. 23.The length of a rectangle is 12 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  24. 24.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  25. 25.Arjun has 23 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  26. 26.The length of a rectangle is 2 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  27. 27.The length of a rectangle is 15 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  28. 28.Kavya has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  29. 29.Arjun has 19 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  30. 30.Solve for x: 8(x + 1) = 7x + 9. What is x?
  31. 31.I think of a number, multiply it by 6 and then add 17. The answer is 149. What is my number?
  32. 32.The length of a rectangle is 15 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  33. 33.I think of a number, multiply it by 3 and then add 13. The answer is 88. What is my number?
  34. 34.Dev has 26 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  35. 35.Saanvi has 18 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 3 and then add 12. The answer is 84. What is my number?
  37. 37.The length of a rectangle is 13 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  38. 38.The length of a rectangle is 10 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  39. 39.I think of a number, multiply it by 5 and then add 9. The answer is 19. What is my number?
  40. 40.Kavya has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?

Answer key

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

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