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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 231 · 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. 1.2 × ? + 29 = 53
  2. 2.The length of a rectangle is 3 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  3. 3.Sneha has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  4. 4.Solve for x: 3(x + 5) = 2x + 32. What is x?
  5. 5.2 × ? − 5 = 35
  6. 6.Solve for x: 9(x + 4) = x + 124. What is x?
  7. 7.The length of a rectangle is 7 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  8. 8.Solve for x: 9(x + 2) = 7x + 28. What is x?
  9. 9.6 × ? + 20 = 62
  10. 10.Solve for x: 9(x + 2) = 8x + 23. What is x?
  11. 11.Solve for x: 6(x + 4) = 3x + 66. What is x?
  12. 12.A pen costs ₹10 more than a pencil. 5 pens and 5 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 9 and then add 19. The answer is 253. What is my number?
  14. 14.A pen costs ₹11 more than a pencil. 6 pens and 8 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  15. 15.Farhan has 22 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  16. 16.Kavya has 26 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  17. 17.Kabir has 18 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹13 more than a pencil. 3 pens and 5 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  19. 19.Ishaan has 15 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  20. 20.4 × ? + 13 = 93
  21. 21.A pen costs ₹2 more than a pencil. 2 pens and 3 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 15 m more than its breadth. Its perimeter is 146 m. What is its breadth (in m)?
  23. 23.2 × ? − 3 = 5
  24. 24.I think of a number, multiply it by 3 and then take away 25. The answer is 59. What is my number?
  25. 25.I think of a number, multiply it by 7 and then take away 14. The answer is 105. What is my number?
  26. 26.The length of a rectangle is 6 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 9 and then add 10. The answer is 28. What is my number?
  28. 28.I think of a number, multiply it by 8 and then take away 24. The answer is 136. What is my number?
  29. 29.The length of a rectangle is 2 m more than its breadth. Its perimeter is 16 m. What is its breadth (in m)?
  30. 30.The length of a rectangle is 6 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  31. 31.The length of a rectangle is 14 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  32. 32.Meera has 25 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  33. 33.Solve for x: 6(x + 3) = 2x + 66. What is x?
  34. 34.A pen costs ₹10 more than a pencil. 4 pens and 7 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 9(x + 1) = 6x + 39. What is x?
  36. 36.The length of a rectangle is 10 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  37. 37.A pen costs ₹15 more than a pencil. 6 pens and 3 pencils cost ₹252 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 3(x + 1) = 2x + 8. What is x?
  39. 39.The length of a rectangle is 8 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  40. 40.The length of a rectangle is 13 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?

Answer key

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

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