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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 87 · 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.Solve for x: 3(x + 6) = 2x + 19. What is x?
  2. 2.I think of a number, multiply it by 6 and then take away 20. The answer is 46. What is my number?
  3. 3.Tara has 28 coins, all ₹5 and ₹2 coins, worth ₹119 in all. How many ₹5 coins are there?
  4. 4.The length of a rectangle is 10 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  5. 5.10 × ? + 19 = 189
  6. 6.Solve for x: 3(x + 6) = x + 32. What is x?
  7. 7.A pen costs ₹3 more than a pencil. 2 pens and 2 pencils cost ₹26 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹13 more than a pencil. 5 pens and 8 pencils cost ₹169 in all. What does one pencil cost (in ₹)?
  9. 9.Sneha has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 7(x + 2) = 3x + 34. What is x?
  11. 11.Nisha has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  12. 12.7 × ? − 1 = 153
  13. 13.A pen costs ₹7 more than a pencil. 3 pens and 2 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 8(x + 2) = 4x + 52. What is x?
  15. 15.Solve for x: 3(x + 9) = x + 45. What is x?
  16. 16.The length of a rectangle is 4 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  17. 17.A pen costs ₹2 more than a pencil. 5 pens and 8 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 5 and then add 33. The answer is 43. What is my number?
  19. 19.I think of a number, multiply it by 9 and then take away 7. The answer is 164. What is my number?
  20. 20.The length of a rectangle is 4 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 6 and then add 38. The answer is 50. What is my number?
  22. 22.Priya has 15 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  23. 23.The length of a rectangle is 6 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 7 and then add 29. The answer is 176. What is my number?
  25. 25.I think of a number, multiply it by 3 and then take away 28. The answer is 53. What is my number?
  26. 26.Arjun has 28 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹11 more than a pencil. 4 pens and 3 pencils cost ₹149 in all. What does one pencil cost (in ₹)?
  28. 28.A pen costs ₹15 more than a pencil. 4 pens and 8 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  29. 29.Pooja has 16 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  30. 30.Solve for x: 9(x + 7) = x + 127. What is x?
  31. 31.Solve for x: 8(x + 4) = 7x + 36. What is x?
  32. 32.Manav has 23 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  33. 33.Solve for x: 4(x + 1) = 2x + 14. What is x?
  34. 34.Solve for x: 3(x + 3) = 2x + 14. What is x?
  35. 35.A pen costs ₹14 more than a pencil. 2 pens and 5 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  36. 36.Manav has 22 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  37. 37.Arjun has 29 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 9(x + 4) = 5x + 108. What is x?
  39. 39.The length of a rectangle is 13 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  40. 40.A pen costs ₹4 more than a pencil. 5 pens and 6 pencils cost ₹75 in all. What does one pencil cost (in ₹)?

Answer key

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

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