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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 523 · 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 13. The answer is 167. What is my number?
  2. 2.I think of a number, multiply it by 5 and then add 36. The answer is 176. What is my number?
  3. 3.A pen costs ₹12 more than a pencil. 5 pens and 3 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  4. 4.The length of a rectangle is 15 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 2 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 9 and then take away 8. The answer is 181. What is my number?
  7. 7.A pen costs ₹10 more than a pencil. 5 pens and 6 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 9(x + 8) = 4x + 117. What is x?
  9. 9.I think of a number, multiply it by 3 and then add 16. The answer is 70. What is my number?
  10. 10.Solve for x: 5(x + 3) = x + 87. What is x?
  11. 11.Solve for x: 7(x + 4) = 6x + 32. What is x?
  12. 12.Solve for x: 3(x + 9) = x + 61. What is x?
  13. 13.Sneha has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 5 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  15. 15.Solve for x: 4(x + 6) = 2x + 50. What is x?
  16. 16.Solve for x: 3(x + 3) = x + 13. What is x?
  17. 17.I think of a number, multiply it by 5 and then add 16. The answer is 81. What is my number?
  18. 18.5 × ? − 1 = 124
  19. 19.Ishaan has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  20. 20.Nisha has 21 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  21. 21.Sneha has 26 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  22. 22.The length of a rectangle is 12 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  23. 23.Solve for x: 9(x + 7) = 8x + 67. What is x?
  24. 24.A pen costs ₹14 more than a pencil. 6 pens and 7 pencils cost ₹175 in all. What does one pencil cost (in ₹)?
  25. 25.A pen costs ₹12 more than a pencil. 4 pens and 4 pencils cost ₹208 in all. What does one pencil cost (in ₹)?
  26. 26.The length of a rectangle is 14 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  27. 27.Tara has 21 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  28. 28.Ananya has 25 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  29. 29.9 × ? − 3 = 132
  30. 30.Solve for x: 3(x + 7) = 2x + 41. What is x?
  31. 31.Solve for x: 8(x + 4) = 5x + 44. What is x?
  32. 32.Isha has 26 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 11 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 3 and then take away 18. The answer is 57. What is my number?
  35. 35.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  36. 36.5 × ? + 19 = 29
  37. 37.Aarav has 27 coins, all ₹5 and ₹2 coins, worth ₹126 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹7 more than a pencil. 2 pens and 7 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  39. 39.Tara has 28 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 6 and then take away 4. The answer is 74. What is my number?

Answer key

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

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