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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 139 · 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. 1.2 × ? + 6 = 52
  2. 2.The length of a rectangle is 8 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 5 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  4. 4.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  5. 5.The length of a rectangle is 4 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 7 and then take away 3. The answer is 130. What is my number?
  7. 7.6 × ? + 3 = 123
  8. 8.I think of a number, multiply it by 9 and then add 37. The answer is 217. What is my number?
  9. 9.12 × ? + 21 = 249
  10. 10.8 × ? − 17 = 31
  11. 11.A pen costs ₹7 more than a pencil. 5 pens and 5 pencils cost ₹205 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 9 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 7 and then take away 33. The answer is 128. What is my number?
  14. 14.Solve for x: 7(x + 7) = 2x + 74. What is x?
  15. 15.A pen costs ₹12 more than a pencil. 4 pens and 3 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹13 more than a pencil. 5 pens and 7 pencils cost ₹281 in all. What does one pencil cost (in ₹)?
  17. 17.The length of a rectangle is 14 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  18. 18.The length of a rectangle is 10 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  19. 19.8 × ? + 27 = 51
  20. 20.A pen costs ₹7 more than a pencil. 4 pens and 3 pencils cost ₹91 in all. What does one pencil cost (in ₹)?
  21. 21.6 × ? − 29 = 91
  22. 22.The length of a rectangle is 7 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 5 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  24. 24.Ishaan has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  25. 25.Manav has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  26. 26.3 × ? + 22 = 67
  27. 27.The length of a rectangle is 15 m more than its breadth. Its perimeter is 150 m. What is its breadth (in m)?
  28. 28.A pen costs ₹5 more than a pencil. 6 pens and 3 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 2 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  30. 30.I think of a number, multiply it by 9 and then take away 9. The answer is 27. What is my number?
  31. 31.7 × ? − 26 = 16
  32. 32.A pen costs ₹12 more than a pencil. 3 pens and 6 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 4(x + 8) = x + 41. What is x?
  34. 34.I think of a number, multiply it by 3 and then add 18. The answer is 39. What is my number?
  35. 35.9 × ? − 16 = 65
  36. 36.A pen costs ₹5 more than a pencil. 2 pens and 6 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  37. 37.Solve for x: 9(x + 8) = 7x + 74. What is x?
  38. 38.A pen costs ₹13 more than a pencil. 2 pens and 3 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 2 and then take away 2. The answer is 12. What is my number?
  40. 40.I think of a number, multiply it by 9 and then add 4. The answer is 121. What is my number?

Answer key

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

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