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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 27 · 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.I think of a number, multiply it by 5 and then take away 17. The answer is 103. What is my number?
  2. 2.A pen costs ₹8 more than a pencil. 2 pens and 7 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  3. 3.6 × ? − 9 = 69
  4. 4.5 × ? + 20 = 40
  5. 5.The length of a rectangle is 8 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  6. 6.The length of a rectangle is 13 m more than its breadth. Its perimeter is 146 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 3 and then add 10. The answer is 19. What is my number?
  8. 8.4 × ? + 1 = 25
  9. 9.3 × ? − 24 = 12
  10. 10.Solve for x: 5(x + 4) = 4x + 25. What is x?
  11. 11.Isha has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 8 and then take away 8. The answer is 8. What is my number?
  13. 13.The length of a rectangle is 4 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 5 and then add 4. The answer is 144. What is my number?
  15. 15.I think of a number, multiply it by 6 and then add 32. The answer is 128. What is my number?
  16. 16.I think of a number, multiply it by 7 and then take away 1. The answer is 13. What is my number?
  17. 17.The length of a rectangle is 15 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  18. 18.2 × ? + 26 = 62
  19. 19.Kavya has 18 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  20. 20.A pen costs ₹2 more than a pencil. 3 pens and 3 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  21. 21.The length of a rectangle is 12 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  22. 22.12 × ? − 18 = 6
  23. 23.I think of a number, multiply it by 9 and then take away 40. The answer is 95. What is my number?
  24. 24.A pen costs ₹2 more than a pencil. 5 pens and 2 pencils cost ₹45 in all. What does one pencil cost (in ₹)?
  25. 25.Tara has 18 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹8 more than a pencil. 4 pens and 2 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹8 more than a pencil. 2 pens and 5 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  28. 28.2 × ? + 15 = 51
  29. 29.Solve for x: 4(x + 7) = 2x + 62. What is x?
  30. 30.Zoya has 25 coins, all ₹5 and ₹2 coins, worth ₹83 in all. How many ₹5 coins are there?
  31. 31.3 × ? + 9 = 30
  32. 32.Solve for x: 3(x + 3) = 2x + 13. What is x?
  33. 33.The length of a rectangle is 6 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  34. 34.Solve for x: 5(x + 3) = 3x + 27. What is x?
  35. 35.A pen costs ₹11 more than a pencil. 5 pens and 6 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 8(x + 9) = 2x + 186. What is x?
  37. 37.I think of a number, multiply it by 8 and then take away 1. The answer is 79. What is my number?
  38. 38.I think of a number, multiply it by 3 and then take away 26. The answer is 43. What is my number?
  39. 39.I think of a number, multiply it by 7 and then take away 18. The answer is 3. What is my number?
  40. 40.A pen costs ₹5 more than a pencil. 3 pens and 4 pencils cost ₹155 in all. What does one pencil cost (in ₹)?

Answer key

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

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