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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 4 · 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 3 and then add 12. The answer is 48. What is my number?
  2. 2.The length of a rectangle is 2 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  3. 3.4 × ? − 29 = 47
  4. 4.The length of a rectangle is 4 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 3 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  6. 6.A pen costs ₹3 more than a pencil. 5 pens and 6 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  7. 7.Solve for x: 8(x + 3) = 7x + 41. What is x?
  8. 8.I think of a number, multiply it by 9 and then take away 1. The answer is 71. What is my number?
  9. 9.I think of a number, multiply it by 3 and then add 9. The answer is 27. What is my number?
  10. 10.I think of a number, multiply it by 6 and then take away 2. The answer is 46. What is my number?
  11. 11.A pen costs ₹3 more than a pencil. 2 pens and 7 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  12. 12.4 × ? + 19 = 99
  13. 13.The length of a rectangle is 11 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 2 and then take away 25. The answer is 17. What is my number?
  15. 15.5 × ? − 26 = 44
  16. 16.The length of a rectangle is 14 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  17. 17.Solve for x: 5(x + 1) = x + 53. What is x?
  18. 18.Solve for x: 5(x + 3) = 2x + 48. What is x?
  19. 19.I think of a number, multiply it by 4 and then take away 25. The answer is 63. What is my number?
  20. 20.Vivaan has 10 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 4 and then add 25. The answer is 49. What is my number?
  22. 22.The length of a rectangle is 11 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 8 and then add 16. The answer is 72. What is my number?
  24. 24.I think of a number, multiply it by 4 and then add 38. The answer is 98. What is my number?
  25. 25.I think of a number, multiply it by 8 and then take away 10. The answer is 206. What is my number?
  26. 26.8 × ? − 5 = 131
  27. 27.Meera has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  28. 28.Solve for x: 9(x + 9) = 6x + 135. What is x?
  29. 29.Diya has 22 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  30. 30.Meera has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  31. 31.12 × ? + 13 = 265
  32. 32.I think of a number, multiply it by 4 and then add 28. The answer is 140. What is my number?
  33. 33.8 × ? − 4 = 164
  34. 34.I think of a number, multiply it by 7 and then add 16. The answer is 170. What is my number?
  35. 35.Solve for x: 8(x + 3) = x + 45. What is x?
  36. 36.12 × ? − 21 = 15
  37. 37.A pen costs ₹9 more than a pencil. 4 pens and 6 pencils cost ₹236 in all. What does one pencil cost (in ₹)?
  38. 38.Saanvi has 24 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
  39. 39.Solve for x: 3(x + 2) = 2x + 11. What is x?
  40. 40.The length of a rectangle is 9 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?

Answer key

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

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