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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 409 · 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 4 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 2 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  3. 3.4 × ? + 23 = 47
  4. 4.The length of a rectangle is 14 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  5. 5.A pen costs ₹15 more than a pencil. 6 pens and 6 pencils cost ₹222 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹14 more than a pencil. 6 pens and 3 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  7. 7.Ananya has 26 coins, all ₹5 and ₹2 coins, worth ₹124 in all. How many ₹5 coins are there?
  8. 8.The length of a rectangle is 3 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  9. 9.I think of a number, multiply it by 5 and then add 37. The answer is 152. What is my number?
  10. 10.The length of a rectangle is 5 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 2 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  12. 12.A pen costs ₹11 more than a pencil. 2 pens and 3 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  13. 13.The length of a rectangle is 8 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  14. 14.12 × ? + 13 = 265
  15. 15.6 × ? − 26 = 64
  16. 16.I think of a number, multiply it by 4 and then add 8. The answer is 32. What is my number?
  17. 17.9 × ? + 8 = 107
  18. 18.Solve for x: 6(x + 8) = 5x + 60. What is x?
  19. 19.A pen costs ₹6 more than a pencil. 5 pens and 3 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹11 more than a pencil. 4 pens and 4 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 3(x + 5) = 2x + 29. What is x?
  22. 22.A pen costs ₹4 more than a pencil. 5 pens and 2 pencils cost ₹153 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 4 and then add 29. The answer is 69. What is my number?
  25. 25.I think of a number, multiply it by 2 and then take away 11. The answer is 13. What is my number?
  26. 26.I think of a number, multiply it by 6 and then take away 29. The answer is 109. What is my number?
  27. 27.I think of a number, multiply it by 4 and then take away 1. The answer is 99. What is my number?
  28. 28.The length of a rectangle is 5 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  29. 29.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹10 more than a pencil. 2 pens and 4 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 9 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  32. 32.2 × ? + 19 = 27
  33. 33.Solve for x: 3(x + 2) = x + 26. What is x?
  34. 34.A pen costs ₹11 more than a pencil. 2 pens and 2 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 5(x + 4) = x + 96. What is x?
  36. 36.I think of a number, multiply it by 5 and then add 36. The answer is 186. What is my number?
  37. 37.The length of a rectangle is 2 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  38. 38.Isha has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  39. 39.The length of a rectangle is 3 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  40. 40.Meera has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?

Answer key

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

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