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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 519 · 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.I think of a number, multiply it by 9 and then take away 2. The answer is 241. What is my number?
  2. 2.The length of a rectangle is 14 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 10 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  4. 4.A pen costs ₹13 more than a pencil. 6 pens and 7 pencils cost ₹195 in all. What does one pencil cost (in ₹)?
  5. 5.Solve for x: 3(x + 3) = 2x + 15. What is x?
  6. 6.12 × ? + 27 = 111
  7. 7.Diya has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 6 and then add 32. The answer is 56. What is my number?
  9. 9.The length of a rectangle is 14 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 6 and then take away 36. The answer is 42. What is my number?
  11. 11.A pen costs ₹11 more than a pencil. 3 pens and 6 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 15 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 5 and then add 24. The answer is 114. What is my number?
  14. 14.Aditya has 23 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  15. 15.Solve for x: 4(x + 1) = x + 34. What is x?
  16. 16.The length of a rectangle is 12 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  17. 17.7 × ? − 22 = 90
  18. 18.The length of a rectangle is 13 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 3 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  20. 20.Saanvi has 17 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 15 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 2 and then take away 13. The answer is 13. What is my number?
  23. 23.I think of a number, multiply it by 5 and then add 36. The answer is 46. What is my number?
  24. 24.7 × ? + 11 = 158
  25. 25.I think of a number, multiply it by 8 and then add 14. The answer is 46. What is my number?
  26. 26.I think of a number, multiply it by 6 and then add 4. The answer is 154. What is my number?
  27. 27.9 × ? − 3 = 60
  28. 28.A pen costs ₹2 more than a pencil. 2 pens and 7 pencils cost ₹157 in all. What does one pencil cost (in ₹)?
  29. 29.12 × ? + 6 = 222
  30. 30.The length of a rectangle is 8 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 6 and then take away 10. The answer is 104. What is my number?
  32. 32.12 × ? − 3 = 57
  33. 33.I think of a number, multiply it by 5 and then add 12. The answer is 82. What is my number?
  34. 34.I think of a number, multiply it by 3 and then take away 40. The answer is 5. What is my number?
  35. 35.I think of a number, multiply it by 6 and then take away 10. The answer is 14. What is my number?
  36. 36.12 × ? − 22 = 146
  37. 37.Nisha has 17 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  38. 38.Pooja has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  39. 39.I think of a number, multiply it by 2 and then take away 20. The answer is 36. What is my number?
  40. 40.A pen costs ₹4 more than a pencil. 4 pens and 4 pencils cost ₹96 in all. What does one pencil cost (in ₹)?

Answer key

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

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