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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 778 · 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. 1.7 × ? − 17 = 53
  2. 2.The length of a rectangle is 14 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  3. 3.Solve for x: 5(x + 6) = x + 34. What is x?
  4. 4.Isha has 19 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  5. 5.Ananya has 30 coins, all ₹5 and ₹2 coins, worth ₹123 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 9 and then take away 24. The answer is 21. What is my number?
  7. 7.I think of a number, multiply it by 2 and then add 8. The answer is 64. What is my number?
  8. 8.A pen costs ₹6 more than a pencil. 6 pens and 7 pencils cost ₹257 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 4(x + 8) = x + 83. What is x?
  10. 10.Rahul has 18 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  11. 11.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  12. 12.The length of a rectangle is 2 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  13. 13.8 × ? − 3 = 157
  14. 14.Zoya has 18 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  15. 15.Solve for x: 5(x + 7) = 3x + 67. What is x?
  16. 16.The length of a rectangle is 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  17. 17.Arjun has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 9 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  19. 19.I think of a number, multiply it by 2 and then add 13. The answer is 33. What is my number?
  20. 20.I think of a number, multiply it by 5 and then add 19. The answer is 129. What is my number?
  21. 21.The length of a rectangle is 6 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 9 and then take away 1. The answer is 116. What is my number?
  23. 23.I think of a number, multiply it by 2 and then take away 18. The answer is 40. What is my number?
  24. 24.Nisha has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 7 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  26. 26.A pen costs ₹12 more than a pencil. 6 pens and 8 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 5(x + 2) = x + 58. What is x?
  28. 28.Solve for x: 3(x + 7) = 2x + 28. What is x?
  29. 29.2 × ? + 8 = 42
  30. 30.A pen costs ₹3 more than a pencil. 6 pens and 5 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 8 and then add 9. The answer is 201. What is my number?
  32. 32.A pen costs ₹8 more than a pencil. 6 pens and 8 pencils cost ₹272 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 10 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 4 and then add 22. The answer is 118. What is my number?
  35. 35.I think of a number, multiply it by 7 and then add 36. The answer is 197. What is my number?
  36. 36.I think of a number, multiply it by 7 and then take away 39. The answer is 143. What is my number?
  37. 37.5 × ? − 14 = 41
  38. 38.A pen costs ₹15 more than a pencil. 2 pens and 3 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 9 and then take away 2. The answer is 43. What is my number?
  40. 40.The length of a rectangle is 10 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?

Answer key

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

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