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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 697 · 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.A pen costs ₹10 more than a pencil. 4 pens and 4 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 2 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  3. 3.I think of a number, multiply it by 3 and then add 9. The answer is 96. What is my number?
  4. 4.The length of a rectangle is 11 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  5. 5.Solve for x: 5(x + 1) = 4x + 6. What is x?
  6. 6.A pen costs ₹15 more than a pencil. 2 pens and 7 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 11 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  8. 8.Solve for x: 3(x + 7) = x + 47. What is x?
  9. 9.12 × ? + 6 = 174
  10. 10.Saanvi has 14 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  11. 11.Aarav has 26 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  12. 12.Solve for x: 5(x + 7) = 2x + 38. What is x?
  13. 13.I think of a number, multiply it by 4 and then take away 19. The answer is 65. What is my number?
  14. 14.12 × ? + 7 = 91
  15. 15.Solve for x: 3(x + 8) = 2x + 43. What is x?
  16. 16.I think of a number, multiply it by 4 and then take away 15. The answer is 29. What is my number?
  17. 17.A pen costs ₹15 more than a pencil. 3 pens and 7 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  19. 19.Kabir has 18 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  20. 20.Nisha has 14 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 8(x + 1) = 4x + 20. What is x?
  22. 22.Solve for x: 3(x + 4) = 2x + 23. What is x?
  23. 23.I think of a number, multiply it by 9 and then take away 39. The answer is 222. What is my number?
  24. 24.11 × ? + 1 = 34
  25. 25.2 × ? + 12 = 56
  26. 26.A pen costs ₹8 more than a pencil. 2 pens and 3 pencils cost ₹41 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 14 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  28. 28.The length of a rectangle is 6 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  29. 29.The length of a rectangle is 9 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  30. 30.Ishaan has 19 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  31. 31.10 × ? − 15 = 25
  32. 32.3 × ? + 16 = 76
  33. 33.I think of a number, multiply it by 8 and then add 28. The answer is 204. What is my number?
  34. 34.A pen costs ₹6 more than a pencil. 4 pens and 2 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 2 and then add 9. The answer is 49. What is my number?
  36. 36.Solve for x: 7(x + 3) = x + 123. What is x?
  37. 37.The length of a rectangle is 8 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  38. 38.A pen costs ₹13 more than a pencil. 6 pens and 2 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 7 and then add 11. The answer is 95. What is my number?
  40. 40.4 × ? + 5 = 45

Answer key

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

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