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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 547 · 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.A pen costs ₹9 more than a pencil. 2 pens and 5 pencils cost ₹53 in all. What does one pencil cost (in ₹)?
  2. 2.7 × ? − 11 = 129
  3. 3.8 × ? + 28 = 124
  4. 4.Solve for x: 4(x + 7) = x + 73. What is x?
  5. 5.I think of a number, multiply it by 2 and then add 39. The answer is 83. What is my number?
  6. 6.Solve for x: 7(x + 8) = x + 170. What is x?
  7. 7.Karan has 24 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  8. 8.The length of a rectangle is 12 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  9. 9.6 × ? − 10 = 26
  10. 10.The length of a rectangle is 6 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  11. 11.12 × ? − 3 = 249
  12. 12.Ishaan has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  13. 13.A pen costs ₹5 more than a pencil. 5 pens and 7 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  15. 15.Aarav has 24 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 3 and then add 19. The answer is 73. What is my number?
  17. 17.The length of a rectangle is 10 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 9 and then add 12. The answer is 201. What is my number?
  19. 19.Solve for x: 8(x + 1) = 7x + 18. What is x?
  20. 20.I think of a number, multiply it by 7 and then take away 40. The answer is 100. What is my number?
  21. 21.The length of a rectangle is 8 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  22. 22.8 × ? + 28 = 204
  23. 23.The length of a rectangle is 15 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  24. 24.The length of a rectangle is 8 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  25. 25.I think of a number, multiply it by 8 and then take away 39. The answer is 17. What is my number?
  26. 26.7 × ? + 28 = 126
  27. 27.The length of a rectangle is 10 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  28. 28.10 × ? + 17 = 97
  29. 29.Meera has 26 coins, all ₹5 and ₹2 coins, worth ₹124 in all. How many ₹5 coins are there?
  30. 30.I think of a number, multiply it by 6 and then add 17. The answer is 191. What is my number?
  31. 31.A pen costs ₹10 more than a pencil. 3 pens and 3 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹14 more than a pencil. 2 pens and 2 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹7 more than a pencil. 6 pens and 3 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 6(x + 9) = 4x + 86. What is x?
  35. 35.I think of a number, multiply it by 9 and then add 18. The answer is 108. What is my number?
  36. 36.A pen costs ₹11 more than a pencil. 3 pens and 7 pencils cost ₹73 in all. What does one pencil cost (in ₹)?
  37. 37.Diya has 19 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 8 and then take away 28. The answer is 108. What is my number?
  39. 39.I think of a number, multiply it by 3 and then take away 1. The answer is 41. What is my number?
  40. 40.10 × ? − 12 = 68

Answer key

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

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