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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 889 · 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 7 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 9 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  3. 3.I think of a number, multiply it by 7 and then add 5. The answer is 117. What is my number?
  4. 4.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  5. 5.3 × ? + 27 = 90
  6. 6.A pen costs ₹5 more than a pencil. 6 pens and 2 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  7. 7.Solve for x: 4(x + 3) = 3x + 26. What is x?
  8. 8.I think of a number, multiply it by 4 and then add 40. The answer is 96. What is my number?
  9. 9.3 × ? + 26 = 62
  10. 10.A pen costs ₹14 more than a pencil. 3 pens and 8 pencils cost ₹229 in all. What does one pencil cost (in ₹)?
  11. 11.5 × ? − 9 = 51
  12. 12.A pen costs ₹12 more than a pencil. 6 pens and 3 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  13. 13.The length of a rectangle is 12 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  14. 14.The length of a rectangle is 5 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 7 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  16. 16.A pen costs ₹15 more than a pencil. 6 pens and 2 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹6 more than a pencil. 6 pens and 6 pencils cost ₹264 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 9 and then add 12. The answer is 165. What is my number?
  19. 19.9 × ? − 6 = 66
  20. 20.I think of a number, multiply it by 6 and then add 19. The answer is 67. What is my number?
  21. 21.The length of a rectangle is 11 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  22. 22.Arjun has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹15 more than a pencil. 5 pens and 6 pencils cost ₹284 in all. What does one pencil cost (in ₹)?
  24. 24.The length of a rectangle is 3 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 8 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  26. 26.A pen costs ₹15 more than a pencil. 4 pens and 6 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  27. 27.3 × ? − 1 = 20
  28. 28.The length of a rectangle is 4 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  29. 29.Sneha has 25 coins, all ₹5 and ₹2 coins, worth ₹116 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹14 more than a pencil. 6 pens and 8 pencils cost ₹364 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 4 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  32. 32.I think of a number, multiply it by 4 and then take away 23. The answer is 5. What is my number?
  33. 33.I think of a number, multiply it by 4 and then add 1. The answer is 29. What is my number?
  34. 34.Isha has 20 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹3 more than a pencil. 5 pens and 7 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹3 more than a pencil. 3 pens and 6 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  37. 37.2 × ? − 23 = 7
  38. 38.A pen costs ₹13 more than a pencil. 5 pens and 6 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  39. 39.Priya has 26 coins, all ₹5 and ₹2 coins, worth ₹106 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹4 more than a pencil. 4 pens and 2 pencils cost ₹94 in all. What does one pencil cost (in ₹)?

Answer key

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

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