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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 667 · 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 5 and then add 22. The answer is 127. What is my number?
  2. 2.4 × ? − 6 = 50
  3. 3.A pen costs ₹6 more than a pencil. 3 pens and 6 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 4 and then add 2. The answer is 10. What is my number?
  5. 5.The length of a rectangle is 13 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 4 and then take away 12. The answer is 36. What is my number?
  7. 7.Pooja has 21 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹2 more than a pencil. 3 pens and 7 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹13 more than a pencil. 3 pens and 7 pencils cost ₹189 in all. What does one pencil cost (in ₹)?
  10. 10.3 × ? + 11 = 32
  11. 11.Manav has 22 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  12. 12.12 × ? − 5 = 223
  13. 13.I think of a number, multiply it by 4 and then add 24. The answer is 100. What is my number?
  14. 14.Solve for x: 9(x + 6) = 3x + 132. What is x?
  15. 15.5 × ? − 9 = 66
  16. 16.8 × ? − 4 = 188
  17. 17.A pen costs ₹5 more than a pencil. 6 pens and 7 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  18. 18.Solve for x: 4(x + 2) = 2x + 48. What is x?
  19. 19.I think of a number, multiply it by 8 and then take away 21. The answer is 187. What is my number?
  20. 20.A pen costs ₹3 more than a pencil. 4 pens and 4 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  21. 21.The length of a rectangle is 12 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  22. 22.Solve for x: 9(x + 3) = x + 99. What is x?
  23. 23.12 × ? − 23 = 37
  24. 24.The length of a rectangle is 6 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  25. 25.Solve for x: 3(x + 1) = 2x + 8. What is x?
  26. 26.Dev has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 4(x + 8) = 3x + 38. What is x?
  28. 28.Solve for x: 4(x + 8) = x + 77. What is x?
  29. 29.A pen costs ₹7 more than a pencil. 3 pens and 7 pencils cost ₹131 in all. What does one pencil cost (in ₹)?
  30. 30.Isha has 16 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  31. 31.Solve for x: 8(x + 8) = 2x + 148. What is x?
  32. 32.3 × ? + 16 = 91
  33. 33.A pen costs ₹5 more than a pencil. 4 pens and 2 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹3 more than a pencil. 4 pens and 4 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 8(x + 7) = 7x + 63. What is x?
  36. 36.3 × ? + 1 = 70
  37. 37.A pen costs ₹4 more than a pencil. 6 pens and 3 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 7(x + 2) = 3x + 42. What is x?
  39. 39.2 × ? − 1 = 41
  40. 40.A pen costs ₹9 more than a pencil. 3 pens and 2 pencils cost ₹42 in all. What does one pencil cost (in ₹)?

Answer key

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

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