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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 493 · 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. 1.8 × ? + 27 = 171
  2. 2.Kabir has 14 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 13 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  4. 4.A pen costs ₹4 more than a pencil. 3 pens and 6 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹6 more than a pencil. 3 pens and 5 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹3 more than a pencil. 4 pens and 7 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  7. 7.8 × ? + 9 = 73
  8. 8.Ananya has 18 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 4 and then add 38. The answer is 70. What is my number?
  10. 10.12 × ? − 10 = 98
  11. 11.I think of a number, multiply it by 4 and then add 38. The answer is 106. What is my number?
  12. 12.The length of a rectangle is 14 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 9 and then add 6. The answer is 42. What is my number?
  14. 14.Solve for x: 9(x + 9) = 2x + 102. What is x?
  15. 15.The length of a rectangle is 11 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  16. 16.Solve for x: 5(x + 9) = x + 101. What is x?
  17. 17.The length of a rectangle is 2 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  18. 18.The length of a rectangle is 12 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  19. 19.6 × ? + 17 = 53
  20. 20.Solve for x: 5(x + 7) = 4x + 41. What is x?
  21. 21.Solve for x: 3(x + 4) = x + 28. What is x?
  22. 22.6 × ? + 18 = 150
  23. 23.The length of a rectangle is 13 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 4 and then add 12. The answer is 96. What is my number?
  25. 25.I think of a number, multiply it by 8 and then add 37. The answer is 77. What is my number?
  26. 26.The length of a rectangle is 15 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  27. 27.The length of a rectangle is 6 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  28. 28.Solve for x: 5(x + 9) = 2x + 60. What is x?
  29. 29.I think of a number, multiply it by 9 and then take away 35. The answer is 28. What is my number?
  30. 30.Solve for x: 6(x + 9) = 2x + 118. What is x?
  31. 31.The length of a rectangle is 9 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  32. 32.Kavya has 13 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  33. 33.I think of a number, multiply it by 2 and then add 12. The answer is 38. What is my number?
  34. 34.Pooja has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  35. 35.Kabir has 13 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 4 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  37. 37.I think of a number, multiply it by 9 and then add 4. The answer is 148. What is my number?
  38. 38.A pen costs ₹14 more than a pencil. 2 pens and 7 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  39. 39.9 × ? − 6 = 111
  40. 40.I think of a number, multiply it by 9 and then take away 3. The answer is 186. What is my number?

Answer key

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

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