← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 787 · 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 8 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  2. 2.A pen costs ₹8 more than a pencil. 2 pens and 6 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 14 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  4. 4.Solve for x: 3(x + 6) = 2x + 20. What is x?
  5. 5.The length of a rectangle is 3 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 8 and then take away 39. The answer is 81. What is my number?
  7. 7.4 × ? + 24 = 72
  8. 8.Solve for x: 6(x + 8) = 3x + 57. What is x?
  9. 9.I think of a number, multiply it by 9 and then add 6. The answer is 114. What is my number?
  10. 10.Solve for x: 6(x + 3) = 3x + 75. What is x?
  11. 11.9 × ? + 25 = 43
  12. 12.10 × ? − 30 = 140
  13. 13.The length of a rectangle is 6 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  14. 14.2 × ? − 30 = 20
  15. 15.Arjun has 16 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  16. 16.Karan has 16 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 2 and then add 1. The answer is 11. What is my number?
  18. 18.A pen costs ₹9 more than a pencil. 4 pens and 7 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 6(x + 9) = 3x + 78. What is x?
  20. 20.I think of a number, multiply it by 4 and then add 30. The answer is 74. What is my number?
  21. 21.I think of a number, multiply it by 3 and then add 38. The answer is 74. What is my number?
  22. 22.I think of a number, multiply it by 6 and then add 32. The answer is 68. What is my number?
  23. 23.Solve for x: 4(x + 3) = 3x + 17. What is x?
  24. 24.Solve for x: 3(x + 1) = 2x + 9. What is x?
  25. 25.A pen costs ₹12 more than a pencil. 5 pens and 7 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 4 and then take away 36. The answer is 16. What is my number?
  27. 27.Solve for x: 4(x + 3) = 2x + 40. What is x?
  28. 28.5 × ? − 28 = 42
  29. 29.5 × ? + 8 = 133
  30. 30.4 × ? − 9 = 11
  31. 31.The length of a rectangle is 12 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  32. 32.I think of a number, multiply it by 3 and then take away 9. The answer is 3. What is my number?
  33. 33.I think of a number, multiply it by 4 and then add 6. The answer is 94. What is my number?
  34. 34.The length of a rectangle is 8 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  35. 35.A pen costs ₹3 more than a pencil. 4 pens and 3 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹7 more than a pencil. 2 pens and 3 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 7 and then add 16. The answer is 191. What is my number?
  38. 38.A pen costs ₹13 more than a pencil. 4 pens and 5 pencils cost ₹214 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 4 and then add 11. The answer is 131. What is my number?
  40. 40.A pen costs ₹7 more than a pencil. 2 pens and 7 pencils cost ₹41 in all. What does one pencil cost (in ₹)?

Answer key

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

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