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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 721 · 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.

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  1. 1.I think of a number, multiply it by 6 and then add 5. The answer is 59. What is my number?
  2. 2.Ananya has 28 coins, all ₹5 and ₹2 coins, worth ₹131 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹2 more than a pencil. 4 pens and 5 pencils cost ₹53 in all. What does one pencil cost (in ₹)?
  4. 4.Kavya has 10 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  5. 5.Nisha has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 4(x + 9) = 2x + 66. What is x?
  7. 7.A pen costs ₹3 more than a pencil. 2 pens and 5 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 2 and then take away 20. The answer is 4. What is my number?
  9. 9.4 × ? − 28 = 16
  10. 10.I think of a number, multiply it by 6 and then take away 4. The answer is 98. What is my number?
  11. 11.12 × ? − 30 = 138
  12. 12.A pen costs ₹5 more than a pencil. 5 pens and 6 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  13. 13.4 × ? − 22 = 78
  14. 14.5 × ? − 6 = 94
  15. 15.Solve for x: 6(x + 1) = x + 11. What is x?
  16. 16.I think of a number, multiply it by 2 and then take away 15. The answer is 11. What is my number?
  17. 17.9 × ? − 26 = 136
  18. 18.A pen costs ₹9 more than a pencil. 4 pens and 4 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  19. 19.The length of a rectangle is 9 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  20. 20.Solve for x: 7(x + 9) = 5x + 75. What is x?
  21. 21.A pen costs ₹2 more than a pencil. 4 pens and 5 pencils cost ₹71 in all. What does one pencil cost (in ₹)?
  22. 22.Solve for x: 9(x + 6) = 7x + 86. What is x?
  23. 23.I think of a number, multiply it by 6 and then add 5. The answer is 101. What is my number?
  24. 24.I think of a number, multiply it by 5 and then add 20. The answer is 55. What is my number?
  25. 25.Meera has 20 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  26. 26.Solve for x: 3(x + 6) = x + 38. What is x?
  27. 27.12 × ? − 1 = 275
  28. 28.4 × ? − 9 = 11
  29. 29.I think of a number, multiply it by 3 and then take away 24. The answer is 36. What is my number?
  30. 30.I think of a number, multiply it by 6 and then add 27. The answer is 45. What is my number?
  31. 31.The length of a rectangle is 14 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  32. 32.The length of a rectangle is 4 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 14 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  34. 34.8 × ? + 14 = 142
  35. 35.Zoya has 20 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  36. 36.2 × ? + 26 = 46
  37. 37.Solve for x: 6(x + 8) = x + 73. What is x?
  38. 38.A pen costs ₹5 more than a pencil. 5 pens and 5 pencils cost ₹215 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹6 more than a pencil. 6 pens and 5 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 2 and then add 25. The answer is 45. What is my number?

Answer key

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

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