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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 559 · 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 100 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 9 and then take away 24. The answer is 3. What is my number?
  3. 3.A pen costs ₹9 more than a pencil. 4 pens and 3 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 4(x + 5) = x + 62. What is x?
  5. 5.Kavya has 25 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  6. 6.The length of a rectangle is 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  7. 7.12 × ? − 1 = 167
  8. 8.I think of a number, multiply it by 9 and then take away 21. The answer is 195. What is my number?
  9. 9.A pen costs ₹12 more than a pencil. 4 pens and 3 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 2 and then take away 38. The answer is 2. What is my number?
  11. 11.Solve for x: 6(x + 5) = 5x + 33. What is x?
  12. 12.12 × ? + 6 = 294
  13. 13.5 × ? + 23 = 93
  14. 14.The length of a rectangle is 2 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  15. 15.10 × ? + 10 = 180
  16. 16.4 × ? − 3 = 77
  17. 17.Solve for x: 5(x + 3) = x + 67. What is x?
  18. 18.The length of a rectangle is 11 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 15 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 8 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 2 and then take away 5. The answer is 43. What is my number?
  22. 22.A pen costs ₹15 more than a pencil. 3 pens and 7 pencils cost ₹155 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 9 and then add 9. The answer is 243. What is my number?
  24. 24.10 × ? − 14 = 56
  25. 25.10 × ? + 22 = 152
  26. 26.9 × ? + 28 = 73
  27. 27.11 × ? − 23 = 197
  28. 28.12 × ? − 11 = 85
  29. 29.I think of a number, multiply it by 6 and then add 4. The answer is 64. What is my number?
  30. 30.The length of a rectangle is 13 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  31. 31.Solve for x: 5(x + 9) = 2x + 90. What is x?
  32. 32.Rohan has 16 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  33. 33.Sneha has 20 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  34. 34.10 × ? + 11 = 161
  35. 35.Solve for x: 8(x + 2) = 2x + 136. What is x?
  36. 36.I think of a number, multiply it by 5 and then add 16. The answer is 81. What is my number?
  37. 37.I think of a number, multiply it by 7 and then take away 2. The answer is 19. What is my number?
  38. 38.I think of a number, multiply it by 2 and then add 12. The answer is 44. What is my number?
  39. 39.The length of a rectangle is 11 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  40. 40.8 × ? − 23 = 153

Answer key

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

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