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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 217 · 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 × ? + 10 = 145
  2. 2.I think of a number, multiply it by 6 and then take away 12. The answer is 24. What is my number?
  3. 3.Solve for x: 8(x + 9) = 3x + 137. What is x?
  4. 4.Manav has 22 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  5. 5.I think of a number, multiply it by 4 and then add 34. The answer is 138. What is my number?
  6. 6.Farhan has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  7. 7.The length of a rectangle is 10 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  8. 8.Karan has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 2 and then add 20. The answer is 80. What is my number?
  10. 10.3 × ? + 25 = 31
  11. 11.A pen costs ₹6 more than a pencil. 3 pens and 7 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 4 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  13. 13.Meera has 16 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 9 and then take away 20. The answer is 61. What is my number?
  15. 15.Isha has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  16. 16.The length of a rectangle is 10 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  17. 17.Solve for x: 5(x + 1) = x + 29. What is x?
  18. 18.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  19. 19.A pen costs ₹4 more than a pencil. 3 pens and 2 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹15 more than a pencil. 5 pens and 8 pencils cost ₹296 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 4 and then add 2. The answer is 66. What is my number?
  22. 22.I think of a number, multiply it by 3 and then add 7. The answer is 76. What is my number?
  23. 23.I think of a number, multiply it by 3 and then add 2. The answer is 89. What is my number?
  24. 24.I think of a number, multiply it by 3 and then take away 2. The answer is 79. What is my number?
  25. 25.Solve for x: 6(x + 5) = 4x + 50. What is x?
  26. 26.I think of a number, multiply it by 7 and then add 6. The answer is 27. What is my number?
  27. 27.I think of a number, multiply it by 9 and then take away 6. The answer is 165. What is my number?
  28. 28.The length of a rectangle is 5 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  29. 29.I think of a number, multiply it by 6 and then add 30. The answer is 150. What is my number?
  30. 30.A pen costs ₹12 more than a pencil. 4 pens and 4 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  31. 31.Kabir has 15 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹5 more than a pencil. 5 pens and 3 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  33. 33.Rahul has 29 coins, all ₹5 and ₹2 coins, worth ₹130 in all. How many ₹5 coins are there?
  34. 34.12 × ? − 21 = 159
  35. 35.The length of a rectangle is 4 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  36. 36.11 × ? − 19 = 36
  37. 37.Solve for x: 7(x + 3) = 6x + 22. What is x?
  38. 38.I think of a number, multiply it by 7 and then take away 21. The answer is 42. What is my number?
  39. 39.The length of a rectangle is 9 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  40. 40.Rohan has 21 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?

Answer key

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

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