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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 286 · 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 2 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 6 and then take away 34. The answer is 110. What is my number?
  3. 3.Kabir has 27 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  4. 4.I think of a number, multiply it by 8 and then add 32. The answer is 176. What is my number?
  5. 5.Solve for x: 9(x + 2) = 6x + 69. What is x?
  6. 6.I think of a number, multiply it by 2 and then take away 3. The answer is 15. What is my number?
  7. 7.I think of a number, multiply it by 8 and then add 25. The answer is 233. What is my number?
  8. 8.The length of a rectangle is 9 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  9. 9.A pen costs ₹8 more than a pencil. 2 pens and 2 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 3 and then take away 16. The answer is 62. What is my number?
  11. 11.A pen costs ₹10 more than a pencil. 3 pens and 2 pencils cost ₹95 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹7 more than a pencil. 2 pens and 3 pencils cost ₹49 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 4 and then take away 6. The answer is 10. What is my number?
  14. 14.A pen costs ₹13 more than a pencil. 2 pens and 3 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  15. 15.Solve for x: 5(x + 2) = 4x + 18. What is x?
  16. 16.Kabir has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 2 and then take away 4. The answer is 28. What is my number?
  18. 18.A pen costs ₹11 more than a pencil. 6 pens and 7 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 4 and then add 22. The answer is 82. What is my number?
  20. 20.A pen costs ₹10 more than a pencil. 4 pens and 2 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  21. 21.The length of a rectangle is 13 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  22. 22.A pen costs ₹4 more than a pencil. 5 pens and 6 pencils cost ₹163 in all. What does one pencil cost (in ₹)?
  23. 23.9 × ? + 29 = 56
  24. 24.I think of a number, multiply it by 4 and then add 29. The answer is 73. What is my number?
  25. 25.I think of a number, multiply it by 7 and then add 35. The answer is 238. What is my number?
  26. 26.A pen costs ₹15 more than a pencil. 3 pens and 4 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  27. 27.2 × ? + 22 = 42
  28. 28.6 × ? − 29 = 121
  29. 29.8 × ? + 13 = 45
  30. 30.Aarav has 22 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  31. 31.Solve for x: 8(x + 8) = 2x + 76. What is x?
  32. 32.Solve for x: 3(x + 2) = 2x + 13. What is x?
  33. 33.Sneha has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹9 more than a pencil. 3 pens and 6 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  35. 35.12 × ? − 14 = 46
  36. 36.I think of a number, multiply it by 9 and then take away 3. The answer is 159. What is my number?
  37. 37.I think of a number, multiply it by 7 and then add 17. The answer is 157. What is my number?
  38. 38.Solve for x: 3(x + 7) = 2x + 41. What is x?
  39. 39.Vivaan has 18 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  40. 40.The length of a rectangle is 4 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?

Answer key

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

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