← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 880 · 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 5 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 5 and then take away 1. The answer is 104. What is my number?
  3. 3.The length of a rectangle is 6 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 5 and then take away 3. The answer is 77. What is my number?
  5. 5.The length of a rectangle is 10 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  6. 6.Solve for x: 4(x + 3) = 3x + 21. What is x?
  7. 7.The length of a rectangle is 14 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  8. 8.A pen costs ₹3 more than a pencil. 2 pens and 5 pencils cost ₹139 in all. What does one pencil cost (in ₹)?
  9. 9.4 × ? − 17 = 47
  10. 10.Solve for x: 6(x + 5) = 4x + 48. What is x?
  11. 11.A pen costs ₹6 more than a pencil. 2 pens and 7 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹15 more than a pencil. 3 pens and 8 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹10 more than a pencil. 6 pens and 5 pencils cost ₹258 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 7 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 5 and then take away 25. The answer is 120. What is my number?
  16. 16.6 × ? + 26 = 128
  17. 17.The length of a rectangle is 4 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  18. 18.Solve for x: 9(x + 7) = 2x + 84. What is x?
  19. 19.I think of a number, multiply it by 4 and then take away 19. The answer is 17. What is my number?
  20. 20.Solve for x: 7(x + 5) = 5x + 53. What is x?
  21. 21.A pen costs ₹5 more than a pencil. 3 pens and 6 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  22. 22.Solve for x: 4(x + 5) = x + 50. What is x?
  23. 23.3 × ? + 21 = 36
  24. 24.11 × ? − 9 = 145
  25. 25.A pen costs ₹13 more than a pencil. 5 pens and 7 pencils cost ₹113 in all. What does one pencil cost (in ₹)?
  26. 26.Solve for x: 6(x + 3) = 2x + 94. What is x?
  27. 27.A pen costs ₹7 more than a pencil. 2 pens and 4 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  28. 28.10 × ? − 1 = 149
  29. 29.Aarav has 20 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  30. 30.11 × ? + 24 = 167
  31. 31.4 × ? + 28 = 52
  32. 32.I think of a number, multiply it by 5 and then add 36. The answer is 131. What is my number?
  33. 33.Solve for x: 6(x + 9) = x + 124. What is x?
  34. 34.Rahul has 20 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  35. 35.The length of a rectangle is 12 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  36. 36.Saanvi has 15 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  37. 37.Solve for x: 5(x + 9) = 2x + 63. What is x?
  38. 38.8 × ? − 17 = 63
  39. 39.Solve for x: 9(x + 5) = 7x + 61. What is x?
  40. 40.I think of a number, multiply it by 3 and then add 17. The answer is 86. What is my number?

Answer key

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

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude