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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 995 · 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 7 and then add 38. The answer is 241. What is my number?
  2. 2.I think of a number, multiply it by 2 and then add 37. The answer is 57. What is my number?
  3. 3.I think of a number, multiply it by 2 and then take away 22. The answer is 36. What is my number?
  4. 4.Arjun has 19 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  5. 5.Isha has 20 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  6. 6.The length of a rectangle is 12 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  7. 7.A pen costs ₹6 more than a pencil. 2 pens and 5 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  8. 8.Karan has 16 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  9. 9.10 × ? + 16 = 236
  10. 10.6 × ? + 29 = 119
  11. 11.A pen costs ₹10 more than a pencil. 4 pens and 6 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 11 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  13. 13.Meera has 23 coins, all ₹5 and ₹2 coins, worth ₹106 in all. How many ₹5 coins are there?
  14. 14.Solve for x: 9(x + 6) = x + 198. What is x?
  15. 15.4 × ? + 26 = 86
  16. 16.12 × ? − 17 = 235
  17. 17.6 × ? − 21 = 117
  18. 18.The length of a rectangle is 4 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 5 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  20. 20.Vivaan has 22 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  21. 21.Rohan has 13 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  22. 22.The length of a rectangle is 13 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  23. 23.Solve for x: 3(x + 4) = x + 46. What is x?
  24. 24.I think of a number, multiply it by 4 and then add 7. The answer is 67. What is my number?
  25. 25.5 × ? + 18 = 98
  26. 26.A pen costs ₹12 more than a pencil. 6 pens and 5 pencils cost ₹248 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹15 more than a pencil. 4 pens and 2 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  28. 28.A pen costs ₹2 more than a pencil. 6 pens and 3 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹10 more than a pencil. 6 pens and 7 pencils cost ₹320 in all. What does one pencil cost (in ₹)?
  30. 30.5 × ? + 6 = 71
  31. 31.A pen costs ₹8 more than a pencil. 3 pens and 8 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  32. 32.3 × ? + 16 = 49
  33. 33.I think of a number, multiply it by 9 and then take away 24. The answer is 3. What is my number?
  34. 34.Solve for x: 4(x + 2) = 2x + 20. What is x?
  35. 35.Solve for x: 6(x + 2) = 3x + 60. What is x?
  36. 36.A pen costs ₹2 more than a pencil. 5 pens and 7 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 3 and then add 1. The answer is 67. What is my number?
  38. 38.A pen costs ₹8 more than a pencil. 2 pens and 4 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹3 more than a pencil. 2 pens and 6 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  40. 40.2 × ? + 6 = 12

Answer key

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

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