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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 958 · 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 2 and then add 8. The answer is 56. What is my number?
  2. 2.Solve for x: 8(x + 7) = 4x + 72. What is x?
  3. 3.Meera has 23 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  4. 4.A pen costs ₹9 more than a pencil. 6 pens and 8 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  5. 5.10 × ? + 22 = 62
  6. 6.A pen costs ₹13 more than a pencil. 3 pens and 4 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 3 and then add 2. The answer is 92. What is my number?
  8. 8.I think of a number, multiply it by 7 and then add 13. The answer is 181. What is my number?
  9. 9.Rohan has 22 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?
  10. 10.Dev has 22 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹11 more than a pencil. 3 pens and 7 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 9 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  13. 13.A pen costs ₹3 more than a pencil. 6 pens and 4 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  14. 14.Rohan has 15 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  15. 15.I think of a number, multiply it by 3 and then add 38. The answer is 116. What is my number?
  16. 16.A pen costs ₹10 more than a pencil. 4 pens and 7 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 3(x + 7) = x + 43. What is x?
  18. 18.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  19. 19.The length of a rectangle is 14 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 12 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  21. 21.Diya has 26 coins, all ₹5 and ₹2 coins, worth ₹124 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 3 and then add 12. The answer is 33. What is my number?
  23. 23.The length of a rectangle is 4 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  24. 24.Solve for x: 3(x + 4) = x + 30. What is x?
  25. 25.I think of a number, multiply it by 4 and then add 27. The answer is 87. What is my number?
  26. 26.Solve for x: 8(x + 5) = 5x + 67. What is x?
  27. 27.Karan has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  28. 28.Rahul has 18 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  29. 29.The length of a rectangle is 6 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  30. 30.Solve for x: 5(x + 5) = 2x + 67. What is x?
  31. 31.4 × ? + 8 = 32
  32. 32.Saanvi has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  33. 33.10 × ? + 9 = 199
  34. 34.The length of a rectangle is 9 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  35. 35.Vivaan has 13 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  36. 36.5 × ? − 24 = 51
  37. 37.A pen costs ₹3 more than a pencil. 5 pens and 2 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  38. 38.5 × ? − 21 = 49
  39. 39.Meera has 23 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  40. 40.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?

Answer key

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

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