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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 143 · 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 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 4 and then add 25. The answer is 37. What is my number?
  3. 3.Solve for x: 4(x + 4) = 3x + 34. What is x?
  4. 4.The length of a rectangle is 8 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 9 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  6. 6.A pen costs ₹3 more than a pencil. 3 pens and 5 pencils cost ₹41 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 7 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 7 and then add 7. The answer is 56. What is my number?
  9. 9.Solve for x: 6(x + 3) = 3x + 66. What is x?
  10. 10.2 × ? + 20 = 26
  11. 11.Dev has 29 coins, all ₹5 and ₹2 coins, worth ₹124 in all. How many ₹5 coins are there?
  12. 12.11 × ? − 24 = 20
  13. 13.I think of a number, multiply it by 6 and then add 28. The answer is 112. What is my number?
  14. 14.I think of a number, multiply it by 9 and then take away 36. The answer is 117. What is my number?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  16. 16.Sneha has 21 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  17. 17.Solve for x: 7(x + 2) = 5x + 52. What is x?
  18. 18.10 × ? + 24 = 134
  19. 19.The length of a rectangle is 9 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 9 and then add 37. The answer is 289. What is my number?
  21. 21.Solve for x: 4(x + 1) = x + 19. What is x?
  22. 22.Saanvi has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  23. 23.Zoya has 14 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  24. 24.The length of a rectangle is 4 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  25. 25.Tara has 18 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 5 and then take away 27. The answer is 13. What is my number?
  27. 27.Diya has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  28. 28.The length of a rectangle is 5 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  29. 29.I think of a number, multiply it by 5 and then take away 24. The answer is 106. What is my number?
  30. 30.Nisha has 30 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹11 more than a pencil. 2 pens and 5 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  32. 32.Aarav has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  33. 33.4 × ? + 5 = 29
  34. 34.9 × ? + 10 = 109
  35. 35.Solve for x: 6(x + 3) = x + 103. What is x?
  36. 36.The length of a rectangle is 10 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  37. 37.A pen costs ₹10 more than a pencil. 3 pens and 3 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  38. 38.4 × ? − 24 = 72
  39. 39.Nisha has 13 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 8 and then take away 2. The answer is 86. What is my number?

Answer key

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

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