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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 765 · 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. 1.10 × ? − 1 = 49
  2. 2.The length of a rectangle is 9 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  3. 3.I think of a number, multiply it by 4 and then add 6. The answer is 42. What is my number?
  4. 4.The length of a rectangle is 2 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 3 and then take away 4. The answer is 44. What is my number?
  6. 6.A pen costs ₹3 more than a pencil. 4 pens and 5 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  7. 7.11 × ? − 12 = 186
  8. 8.9 × ? − 3 = 69
  9. 9.I think of a number, multiply it by 3 and then add 40. The answer is 58. What is my number?
  10. 10.A pen costs ₹13 more than a pencil. 3 pens and 5 pencils cost ₹79 in all. What does one pencil cost (in ₹)?
  11. 11.Diya has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  12. 12.10 × ? − 12 = 158
  13. 13.Solve for x: 7(x + 6) = 2x + 97. What is x?
  14. 14.3 × ? + 8 = 53
  15. 15.11 × ? − 19 = 69
  16. 16.The length of a rectangle is 2 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 7 and then add 35. The answer is 49. What is my number?
  18. 18.Ishaan has 25 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 3 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  20. 20.Solve for x: 5(x + 2) = x + 58. What is x?
  21. 21.A pen costs ₹2 more than a pencil. 6 pens and 6 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹2 more than a pencil. 3 pens and 3 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 9 and then add 37. The answer is 127. What is my number?
  24. 24.Solve for x: 7(x + 1) = x + 97. What is x?
  25. 25.8 × ? − 5 = 131
  26. 26.The length of a rectangle is 3 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  27. 27.Solve for x: 8(x + 6) = x + 132. What is x?
  28. 28.I think of a number, multiply it by 5 and then add 2. The answer is 32. What is my number?
  29. 29.I think of a number, multiply it by 4 and then add 35. The answer is 75. What is my number?
  30. 30.6 × ? + 30 = 42
  31. 31.The length of a rectangle is 4 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  32. 32.Solve for x: 4(x + 1) = 2x + 14. What is x?
  33. 33.A pen costs ₹11 more than a pencil. 3 pens and 4 pencils cost ₹131 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 6 and then take away 29. The answer is 115. What is my number?
  36. 36.Ishaan has 15 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  37. 37.A pen costs ₹3 more than a pencil. 5 pens and 7 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 3 and then take away 10. The answer is 20. What is my number?
  39. 39.The length of a rectangle is 12 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 7 and then add 30. The answer is 170. What is my number?

Answer key

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

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