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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 906 · 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. 1.9 × ? − 27 = 189
  2. 2.4 × ? + 20 = 52
  3. 3.Solve for x: 3(x + 8) = 2x + 34. What is x?
  4. 4.A pen costs ₹15 more than a pencil. 3 pens and 2 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  5. 5.The length of a rectangle is 13 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  6. 6.Arjun has 18 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  7. 7.Solve for x: 7(x + 1) = 6x + 17. What is x?
  8. 8.A pen costs ₹6 more than a pencil. 3 pens and 8 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹11 more than a pencil. 6 pens and 3 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 11 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  11. 11.Solve for x: 6(x + 7) = 3x + 93. What is x?
  12. 12.7 × ? + 23 = 128
  13. 13.Tara has 15 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  14. 14.Solve for x: 3(x + 2) = x + 20. What is x?
  15. 15.A pen costs ₹10 more than a pencil. 2 pens and 4 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 3(x + 2) = x + 34. What is x?
  17. 17.A pen costs ₹8 more than a pencil. 2 pens and 8 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 7 and then add 12. The answer is 173. What is my number?
  19. 19.A pen costs ₹11 more than a pencil. 5 pens and 2 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 13 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  21. 21.5 × ? − 17 = 53
  22. 22.Zoya has 18 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 5(x + 3) = 2x + 57. What is x?
  24. 24.A pen costs ₹6 more than a pencil. 2 pens and 4 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 7(x + 2) = 3x + 58. What is x?
  26. 26.I think of a number, multiply it by 6 and then add 18. The answer is 60. What is my number?
  27. 27.A pen costs ₹15 more than a pencil. 6 pens and 8 pencils cost ₹244 in all. What does one pencil cost (in ₹)?
  28. 28.Aditya has 26 coins, all ₹5 and ₹2 coins, worth ₹106 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹9 more than a pencil. 5 pens and 2 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 3 and then add 7. The answer is 88. What is my number?
  31. 31.A pen costs ₹15 more than a pencil. 3 pens and 3 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹7 more than a pencil. 6 pens and 7 pencils cost ₹250 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 6 and then take away 4. The answer is 152. What is my number?
  34. 34.The length of a rectangle is 4 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  35. 35.10 × ? + 26 = 46
  36. 36.Saanvi has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  37. 37.Arjun has 30 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  38. 38.The length of a rectangle is 10 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  39. 39.The length of a rectangle is 8 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  40. 40.Solve for x: 3(x + 1) = 2x + 21. What is x?

Answer key

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

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