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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 949 · 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 2 and then take away 17. The answer is 1. What is my number?
  2. 2.11 × ? + 30 = 305
  3. 3.Solve for x: 3(x + 6) = 2x + 21. What is x?
  4. 4.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹9 more than a pencil. 2 pens and 5 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 6 and then take away 3. The answer is 135. What is my number?
  7. 7.The length of a rectangle is 3 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  8. 8.A pen costs ₹9 more than a pencil. 6 pens and 6 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹4 more than a pencil. 3 pens and 2 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 4 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  11. 11.A pen costs ₹7 more than a pencil. 3 pens and 4 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 13 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  13. 13.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  14. 14.The length of a rectangle is 15 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 3 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  16. 16.A pen costs ₹12 more than a pencil. 6 pens and 5 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  17. 17.Aditya has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  18. 18.10 × ? − 20 = 150
  19. 19.The length of a rectangle is 12 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 3 and then add 9. The answer is 96. What is my number?
  21. 21.8 × ? − 19 = 157
  22. 22.Rohan has 16 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  23. 23.The length of a rectangle is 15 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  24. 24.A pen costs ₹11 more than a pencil. 3 pens and 3 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  25. 25.A pen costs ₹2 more than a pencil. 4 pens and 7 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
  26. 26.Solve for x: 4(x + 2) = 2x + 46. What is x?
  27. 27.I think of a number, multiply it by 4 and then take away 31. The answer is 65. What is my number?
  28. 28.A pen costs ₹6 more than a pencil. 3 pens and 4 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  29. 29.2 × ? + 1 = 19
  30. 30.Solve for x: 9(x + 3) = 8x + 42. What is x?
  31. 31.A pen costs ₹13 more than a pencil. 3 pens and 5 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 6 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  33. 33.Solve for x: 3(x + 1) = 2x + 21. What is x?
  34. 34.I think of a number, multiply it by 5 and then add 19. The answer is 124. What is my number?
  35. 35.A pen costs ₹3 more than a pencil. 3 pens and 7 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 7(x + 9) = x + 171. What is x?
  37. 37.I think of a number, multiply it by 4 and then take away 19. The answer is 49. What is my number?
  38. 38.A pen costs ₹2 more than a pencil. 5 pens and 3 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  39. 39.Ananya has 19 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  40. 40.The length of a rectangle is 6 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?

Answer key

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

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