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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 177 · 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 ₹12 more than a pencil. 6 pens and 3 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 7(x + 2) = 5x + 32. What is x?
  3. 3.4 × ? + 2 = 94
  4. 4.The length of a rectangle is 8 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 14 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  6. 6.Solve for x: 4(x + 5) = 3x + 25. What is x?
  7. 7.A pen costs ₹7 more than a pencil. 6 pens and 3 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 8(x + 3) = 6x + 44. What is x?
  9. 9.11 × ? − 21 = 210
  10. 10.2 × ? − 20 = 20
  11. 11.Rahul has 26 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 7 and then add 13. The answer is 62. What is my number?
  13. 13.Sneha has 19 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  14. 14.Saanvi has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  15. 15.Ananya has 28 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  16. 16.Nisha has 15 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 2 and then add 23. The answer is 39. What is my number?
  18. 18.Rahul has 27 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  19. 19.I think of a number, multiply it by 3 and then add 19. The answer is 106. What is my number?
  20. 20.The length of a rectangle is 2 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  21. 21.Solve for x: 5(x + 4) = 4x + 39. What is x?
  22. 22.I think of a number, multiply it by 4 and then add 13. The answer is 33. What is my number?
  23. 23.10 × ? + 1 = 71
  24. 24.A pen costs ₹7 more than a pencil. 2 pens and 6 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  25. 25.The length of a rectangle is 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  26. 26.Tara has 15 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  27. 27.8 × ? + 4 = 164
  28. 28.I think of a number, multiply it by 9 and then take away 13. The answer is 14. What is my number?
  29. 29.I think of a number, multiply it by 3 and then add 40. The answer is 112. What is my number?
  30. 30.I think of a number, multiply it by 7 and then add 34. The answer is 118. What is my number?
  31. 31.10 × ? − 11 = 29
  32. 32.A pen costs ₹12 more than a pencil. 4 pens and 2 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  33. 33.6 × ? − 14 = 124
  34. 34.I think of a number, multiply it by 3 and then add 9. The answer is 30. What is my number?
  35. 35.I think of a number, multiply it by 5 and then add 39. The answer is 119. What is my number?
  36. 36.The length of a rectangle is 8 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 4 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  38. 38.A pen costs ₹11 more than a pencil. 6 pens and 8 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  39. 39.The length of a rectangle is 11 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  40. 40.11 × ? − 17 = 159

Answer key

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

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