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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 457 · 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 4 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  2. 2.Pooja has 23 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹3 more than a pencil. 2 pens and 2 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 4 and then add 32. The answer is 44. What is my number?
  5. 5.A pen costs ₹15 more than a pencil. 3 pens and 7 pencils cost ₹245 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 5 and then add 13. The answer is 53. What is my number?
  7. 7.Priya has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  8. 8.3 × ? + 17 = 83
  9. 9.A pen costs ₹7 more than a pencil. 2 pens and 2 pencils cost ₹30 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 9 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 4 and then add 31. The answer is 83. What is my number?
  12. 12.The length of a rectangle is 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  13. 13.The length of a rectangle is 5 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  14. 14.A pen costs ₹7 more than a pencil. 5 pens and 7 pencils cost ₹275 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 2 and then add 26. The answer is 86. What is my number?
  16. 16.I think of a number, multiply it by 8 and then take away 6. The answer is 202. What is my number?
  17. 17.I think of a number, multiply it by 6 and then add 20. The answer is 170. What is my number?
  18. 18.A pen costs ₹15 more than a pencil. 2 pens and 5 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  19. 19.The length of a rectangle is 6 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 4 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  21. 21.Solve for x: 5(x + 3) = 2x + 57. What is x?
  22. 22.I think of a number, multiply it by 8 and then add 14. The answer is 238. What is my number?
  23. 23.A pen costs ₹9 more than a pencil. 2 pens and 2 pencils cost ₹34 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 4 and then add 6. The answer is 62. What is my number?
  25. 25.Aarav has 24 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹3 more than a pencil. 6 pens and 6 pencils cost ₹234 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 4 and then add 22. The answer is 130. What is my number?
  28. 28.A pen costs ₹11 more than a pencil. 3 pens and 6 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  29. 29.3 × ? − 15 = 54
  30. 30.I think of a number, multiply it by 9 and then take away 9. The answer is 117. What is my number?
  31. 31.I think of a number, multiply it by 3 and then add 36. The answer is 87. What is my number?
  32. 32.8 × ? + 20 = 52
  33. 33.4 × ? + 30 = 58
  34. 34.The length of a rectangle is 2 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  35. 35.I think of a number, multiply it by 6 and then add 11. The answer is 53. What is my number?
  36. 36.The length of a rectangle is 3 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  37. 37.I think of a number, multiply it by 9 and then take away 3. The answer is 267. What is my number?
  38. 38.Solve for x: 3(x + 7) = x + 61. What is x?
  39. 39.The length of a rectangle is 2 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  40. 40.Farhan has 20 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?

Answer key

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

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