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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 76 · 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. 1.11 × ? − 5 = 160
  2. 2.I think of a number, multiply it by 8 and then take away 15. The answer is 137. What is my number?
  3. 3.I think of a number, multiply it by 9 and then take away 1. The answer is 206. What is my number?
  4. 4.5 × ? − 23 = 27
  5. 5.The length of a rectangle is 10 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  6. 6.8 × ? + 10 = 42
  7. 7.Dev has 27 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹11 more than a pencil. 3 pens and 2 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
  9. 9.Tara has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  10. 10.I think of a number, multiply it by 6 and then take away 23. The answer is 7. What is my number?
  11. 11.Solve for x: 7(x + 4) = 2x + 78. What is x?
  12. 12.Kabir has 12 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  13. 13.Isha has 18 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 2 and then add 12. The answer is 48. What is my number?
  15. 15.A pen costs ₹12 more than a pencil. 2 pens and 5 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  16. 16.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  17. 17.A pen costs ₹8 more than a pencil. 4 pens and 6 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 2 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  19. 19.Solve for x: 5(x + 1) = 4x + 21. What is x?
  20. 20.A pen costs ₹7 more than a pencil. 5 pens and 5 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  21. 21.The length of a rectangle is 9 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  22. 22.The length of a rectangle is 11 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 6 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  24. 24.Arjun has 16 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 9(x + 4) = 4x + 56. What is x?
  26. 26.Isha has 26 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  27. 27.9 × ? − 2 = 79
  28. 28.9 × ? − 25 = 110
  29. 29.I think of a number, multiply it by 6 and then take away 27. The answer is 33. What is my number?
  30. 30.11 × ? − 16 = 6
  31. 31.I think of a number, multiply it by 3 and then add 9. The answer is 81. What is my number?
  32. 32.The length of a rectangle is 10 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 8 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  34. 34.12 × ? + 26 = 50
  35. 35.11 × ? − 4 = 216
  36. 36.I think of a number, multiply it by 7 and then add 18. The answer is 214. What is my number?
  37. 37.Kabir has 13 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 9 and then add 19. The answer is 208. What is my number?
  39. 39.8 × ? + 9 = 25
  40. 40.Solve for x: 8(x + 2) = 6x + 34. What is x?

Answer key

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

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