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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 859 · 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.I think of a number, multiply it by 8 and then take away 4. The answer is 36. What is my number?
  2. 2.The length of a rectangle is 9 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  3. 3.3 × ? − 11 = 43
  4. 4.A pen costs ₹15 more than a pencil. 5 pens and 3 pencils cost ₹195 in all. What does one pencil cost (in ₹)?
  5. 5.Solve for x: 4(x + 4) = 2x + 18. What is x?
  6. 6.Ishaan has 26 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  7. 7.Pooja has 16 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  8. 8.Isha has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  9. 9.A pen costs ₹9 more than a pencil. 6 pens and 2 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹7 more than a pencil. 4 pens and 7 pencils cost ₹237 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 2 and then add 27. The answer is 73. What is my number?
  12. 12.Solve for x: 6(x + 7) = 2x + 90. What is x?
  13. 13.The length of a rectangle is 3 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  14. 14.A pen costs ₹10 more than a pencil. 5 pens and 7 pencils cost ₹182 in all. What does one pencil cost (in ₹)?
  15. 15.Ananya has 26 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  16. 16.Saanvi has 28 coins, all ₹5 and ₹2 coins, worth ₹137 in all. How many ₹5 coins are there?
  17. 17.Solve for x: 3(x + 1) = x + 21. What is x?
  18. 18.8 × ? + 10 = 170
  19. 19.I think of a number, multiply it by 8 and then add 29. The answer is 85. What is my number?
  20. 20.I think of a number, multiply it by 7 and then add 32. The answer is 221. What is my number?
  21. 21.A pen costs ₹10 more than a pencil. 6 pens and 5 pencils cost ₹236 in all. What does one pencil cost (in ₹)?
  22. 22.Sneha has 29 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?
  23. 23.Isha has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  24. 24.The length of a rectangle is 15 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  25. 25.A pen costs ₹8 more than a pencil. 2 pens and 7 pencils cost ₹178 in all. What does one pencil cost (in ₹)?
  26. 26.3 × ? + 21 = 33
  27. 27.Solve for x: 8(x + 9) = x + 86. What is x?
  28. 28.I think of a number, multiply it by 7 and then add 8. The answer is 120. What is my number?
  29. 29.Solve for x: 7(x + 6) = 6x + 57. What is x?
  30. 30.A pen costs ₹14 more than a pencil. 5 pens and 5 pencils cost ₹250 in all. What does one pencil cost (in ₹)?
  31. 31.10 × ? + 15 = 45
  32. 32.Kavya has 28 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 2 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  34. 34.Solve for x: 4(x + 1) = 3x + 10. What is x?
  35. 35.A pen costs ₹6 more than a pencil. 3 pens and 5 pencils cost ₹58 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 116 m. What is its breadth (in m)?
  37. 37.Solve for x: 3(x + 9) = x + 57. What is x?
  38. 38.Rohan has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  39. 39.The length of a rectangle is 10 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  40. 40.4 × ? − 9 = 15

Answer key

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

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