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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 646 · 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.

NameDateTime takenScore ___ / 40
  1. 1.The length of a rectangle is 14 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  2. 2.10 × ? − 16 = 174
  3. 3.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  4. 4.Rahul has 20 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  5. 5.12 × ? + 2 = 26
  6. 6.A pen costs ₹2 more than a pencil. 2 pens and 3 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹5 more than a pencil. 3 pens and 3 pencils cost ₹33 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 7(x + 5) = 6x + 50. What is x?
  9. 9.4 × ? − 16 = 28
  10. 10.A pen costs ₹9 more than a pencil. 5 pens and 5 pencils cost ₹115 in all. What does one pencil cost (in ₹)?
  11. 11.The length of a rectangle is 11 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  12. 12.Solve for x: 3(x + 8) = x + 60. What is x?
  13. 13.The length of a rectangle is 14 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 9 and then add 30. The answer is 291. What is my number?
  15. 15.Solve for x: 6(x + 3) = x + 28. What is x?
  16. 16.Priya has 26 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 13 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  18. 18.Aditya has 15 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  19. 19.Solve for x: 3(x + 7) = 2x + 24. What is x?
  20. 20.I think of a number, multiply it by 3 and then add 24. The answer is 90. What is my number?
  21. 21.Solve for x: 4(x + 2) = x + 47. What is x?
  22. 22.The length of a rectangle is 14 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  23. 23.Solve for x: 6(x + 5) = 3x + 63. What is x?
  24. 24.The length of a rectangle is 14 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  25. 25.A pen costs ₹7 more than a pencil. 3 pens and 4 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 3 and then take away 37. The answer is 8. What is my number?
  27. 27.I think of a number, multiply it by 5 and then add 11. The answer is 66. What is my number?
  28. 28.I think of a number, multiply it by 6 and then add 23. The answer is 131. What is my number?
  29. 29.The length of a rectangle is 5 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  30. 30.Solve for x: 8(x + 9) = 2x + 180. What is x?
  31. 31.I think of a number, multiply it by 9 and then take away 28. The answer is 224. What is my number?
  32. 32.Aarav has 29 coins, all ₹5 and ₹2 coins, worth ₹133 in all. How many ₹5 coins are there?
  33. 33.I think of a number, multiply it by 4 and then add 29. The answer is 81. What is my number?
  34. 34.A pen costs ₹3 more than a pencil. 4 pens and 3 pencils cost ₹131 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 6(x + 2) = 2x + 80. What is x?
  36. 36.The length of a rectangle is 15 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  37. 37.Meera has 24 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  38. 38.Zoya has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  39. 39.I think of a number, multiply it by 3 and then take away 13. The answer is 32. What is my number?
  40. 40.A pen costs ₹11 more than a pencil. 5 pens and 4 pencils cost ₹217 in all. What does one pencil cost (in ₹)?

Answer key

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

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