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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 322 · 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.Nisha has 18 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  2. 2.The length of a rectangle is 13 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 14 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  4. 4.A pen costs ₹9 more than a pencil. 3 pens and 2 pencils cost ₹47 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 6 and then add 19. The answer is 55. What is my number?
  6. 6.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  7. 7.A pen costs ₹13 more than a pencil. 5 pens and 5 pencils cost ₹235 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 3 and then add 11. The answer is 56. What is my number?
  9. 9.A pen costs ₹3 more than a pencil. 5 pens and 2 pencils cost ₹43 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹6 more than a pencil. 5 pens and 3 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 5 and then take away 29. The answer is 61. What is my number?
  12. 12.I think of a number, multiply it by 7 and then add 17. The answer is 157. What is my number?
  13. 13.Solve for x: 7(x + 1) = 4x + 19. What is x?
  14. 14.Vivaan has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  15. 15.Rahul has 30 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  16. 16.Rohan has 13 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 7 and then take away 10. The answer is 18. What is my number?
  18. 18.I think of a number, multiply it by 9 and then take away 6. The answer is 30. What is my number?
  19. 19.Solve for x: 5(x + 1) = 3x + 19. What is x?
  20. 20.I think of a number, multiply it by 7 and then add 32. The answer is 88. What is my number?
  21. 21.12 × ? + 9 = 105
  22. 22.Solve for x: 3(x + 7) = 2x + 31. What is x?
  23. 23.Solve for x: 5(x + 8) = 4x + 43. What is x?
  24. 24.3 × ? + 5 = 74
  25. 25.The length of a rectangle is 4 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  26. 26.A pen costs ₹4 more than a pencil. 3 pens and 3 pencils cost ₹30 in all. What does one pencil cost (in ₹)?
  27. 27.12 × ? − 13 = 239
  28. 28.Meera has 16 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  29. 29.9 × ? + 12 = 66
  30. 30.The length of a rectangle is 12 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 5 and then add 8. The answer is 148. What is my number?
  32. 32.A pen costs ₹7 more than a pencil. 6 pens and 3 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 5 and then add 17. The answer is 107. What is my number?
  34. 34.I think of a number, multiply it by 2 and then add 3. The answer is 19. What is my number?
  35. 35.A pen costs ₹6 more than a pencil. 2 pens and 7 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  36. 36.The length of a rectangle is 8 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  37. 37.Solve for x: 6(x + 9) = x + 74. What is x?
  38. 38.9 × ? + 29 = 191
  39. 39.The length of a rectangle is 5 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  40. 40.A pen costs ₹4 more than a pencil. 5 pens and 2 pencils cost ₹97 in all. What does one pencil cost (in ₹)?

Answer key

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

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