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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 97 · 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. 1.6 × ? + 27 = 129
  2. 2.The length of a rectangle is 5 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  3. 3.Solve for x: 9(x + 2) = 2x + 67. What is x?
  4. 4.I think of a number, multiply it by 2 and then take away 11. The answer is 9. What is my number?
  5. 5.A pen costs ₹6 more than a pencil. 5 pens and 3 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  6. 6.6 × ? − 9 = 123
  7. 7.I think of a number, multiply it by 3 and then take away 22. The answer is 50. What is my number?
  8. 8.I think of a number, multiply it by 7 and then add 1. The answer is 22. What is my number?
  9. 9.A pen costs ₹2 more than a pencil. 5 pens and 3 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 8(x + 7) = 5x + 71. What is x?
  11. 11.7 × ? + 25 = 123
  12. 12.A pen costs ₹10 more than a pencil. 6 pens and 7 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  13. 13.10 × ? − 28 = 2
  14. 14.9 × ? − 26 = 190
  15. 15.A pen costs ₹8 more than a pencil. 2 pens and 5 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  16. 16.3 × ? + 1 = 28
  17. 17.Kavya has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹13 more than a pencil. 2 pens and 6 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹11 more than a pencil. 2 pens and 6 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 5 and then add 17. The answer is 92. What is my number?
  21. 21.A pen costs ₹9 more than a pencil. 2 pens and 2 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹7 more than a pencil. 6 pens and 8 pencils cost ₹224 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 5(x + 3) = x + 87. What is x?
  24. 24.Saanvi has 30 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 6 and then take away 14. The answer is 136. What is my number?
  26. 26.I think of a number, multiply it by 9 and then add 38. The answer is 65. What is my number?
  27. 27.Nisha has 28 coins, all ₹5 and ₹2 coins, worth ₹122 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹6 more than a pencil. 6 pens and 7 pencils cost ₹244 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 9 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  30. 30.A pen costs ₹13 more than a pencil. 6 pens and 2 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 14 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  32. 32.The length of a rectangle is 11 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  33. 33.Solve for x: 5(x + 4) = 4x + 37. What is x?
  34. 34.The length of a rectangle is 5 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  35. 35.A pen costs ₹7 more than a pencil. 5 pens and 7 pencils cost ₹131 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 4(x + 4) = x + 31. What is x?
  37. 37.9 × ? + 17 = 116
  38. 38.I think of a number, multiply it by 9 and then take away 20. The answer is 133. What is my number?
  39. 39.Solve for x: 5(x + 1) = 3x + 17. What is x?
  40. 40.Nisha has 24 coins, all ₹5 and ₹2 coins, worth ₹114 in all. How many ₹5 coins are there?

Answer key

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

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