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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 578 · 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. 1.4 × ? + 1 = 61
  2. 2.I think of a number, multiply it by 9 and then add 37. The answer is 235. What is my number?
  3. 3.Tara has 20 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  4. 4.I think of a number, multiply it by 6 and then add 5. The answer is 23. What is my number?
  5. 5.A pen costs ₹13 more than a pencil. 3 pens and 4 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 10 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  7. 7.Zoya has 22 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 3 and then add 34. The answer is 40. What is my number?
  9. 9.I think of a number, multiply it by 3 and then add 13. The answer is 25. What is my number?
  10. 10.A pen costs ₹4 more than a pencil. 4 pens and 3 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 7(x + 6) = 6x + 49. What is x?
  12. 12.A pen costs ₹10 more than a pencil. 4 pens and 6 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹3 more than a pencil. 6 pens and 8 pencils cost ₹214 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 4 and then add 24. The answer is 60. What is my number?
  15. 15.A pen costs ₹7 more than a pencil. 2 pens and 8 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 4(x + 5) = 2x + 48. What is x?
  17. 17.A pen costs ₹15 more than a pencil. 2 pens and 6 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 10 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  19. 19.12 × ? − 8 = 28
  20. 20.The length of a rectangle is 14 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 4 and then add 8. The answer is 56. What is my number?
  22. 22.12 × ? − 6 = 18
  23. 23.The length of a rectangle is 4 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  24. 24.Kabir has 23 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 4 and then take away 12. The answer is 36. What is my number?
  26. 26.Farhan has 16 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 8(x + 2) = 4x + 64. What is x?
  28. 28.I think of a number, multiply it by 8 and then add 5. The answer is 221. What is my number?
  29. 29.Nisha has 30 coins, all ₹5 and ₹2 coins, worth ₹135 in all. How many ₹5 coins are there?
  30. 30.Farhan has 19 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  31. 31.10 × ? − 30 = 30
  32. 32.Solve for x: 9(x + 4) = 3x + 156. What is x?
  33. 33.The length of a rectangle is 15 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  34. 34.A pen costs ₹14 more than a pencil. 2 pens and 6 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  35. 35.Sneha has 13 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  36. 36.Solve for x: 4(x + 9) = x + 48. What is x?
  37. 37.I think of a number, multiply it by 3 and then add 1. The answer is 37. What is my number?
  38. 38.Farhan has 21 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  39. 39.Kavya has 10 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹9 more than a pencil. 4 pens and 8 pencils cost ₹156 in all. What does one pencil cost (in ₹)?

Answer key

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

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