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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 513 · 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.Aarav has 30 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  2. 2.I think of a number, multiply it by 2 and then add 11. The answer is 19. What is my number?
  3. 3.6 × ? + 27 = 39
  4. 4.I think of a number, multiply it by 5 and then add 10. The answer is 100. What is my number?
  5. 5.11 × ? + 10 = 32
  6. 6.Solve for x: 9(x + 3) = 8x + 31. What is x?
  7. 7.The length of a rectangle is 11 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 2 and then take away 22. The answer is 28. What is my number?
  9. 9.Ishaan has 14 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  10. 10.The length of a rectangle is 12 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  11. 11.Pooja has 17 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹3 more than a pencil. 4 pens and 2 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  13. 13.Ishaan has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  14. 14.9 × ? + 18 = 207
  15. 15.The length of a rectangle is 8 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  16. 16.Karan has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  17. 17.Aarav has 28 coins, all ₹5 and ₹2 coins, worth ₹134 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 7 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  19. 19.A pen costs ₹9 more than a pencil. 5 pens and 4 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  20. 20.6 × ? − 9 = 39
  21. 21.Vivaan has 13 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  22. 22.Solve for x: 5(x + 6) = 4x + 36. What is x?
  23. 23.The length of a rectangle is 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 6 and then add 27. The answer is 63. What is my number?
  25. 25.6 × ? − 25 = 23
  26. 26.A pen costs ₹15 more than a pencil. 3 pens and 2 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 5 and then take away 17. The answer is 113. What is my number?
  28. 28.Solve for x: 6(x + 4) = 4x + 36. What is x?
  29. 29.Solve for x: 3(x + 3) = 2x + 25. What is x?
  30. 30.Arjun has 19 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  31. 31.Diya has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 3(x + 2) = 2x + 20. What is x?
  33. 33.Kavya has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  34. 34.Solve for x: 7(x + 3) = 2x + 66. What is x?
  35. 35.9 × ? + 12 = 48
  36. 36.I think of a number, multiply it by 7 and then add 12. The answer is 61. What is my number?
  37. 37.A pen costs ₹2 more than a pencil. 3 pens and 6 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 7(x + 4) = x + 142. What is x?
  39. 39.5 × ? + 20 = 85
  40. 40.The length of a rectangle is 13 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?

Answer key

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

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