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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 606 · 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.Rohan has 23 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹5 more than a pencil. 4 pens and 5 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 4 and then add 18. The answer is 62. What is my number?
  4. 4.I think of a number, multiply it by 7 and then add 21. The answer is 154. What is my number?
  5. 5.The length of a rectangle is 5 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 6 and then take away 27. The answer is 51. What is my number?
  7. 7.8 × ? − 2 = 30
  8. 8.I think of a number, multiply it by 6 and then add 40. The answer is 208. What is my number?
  9. 9.The length of a rectangle is 8 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 5 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 6 and then take away 29. The answer is 121. What is my number?
  12. 12.I think of a number, multiply it by 6 and then take away 29. The answer is 13. What is my number?
  13. 13.A pen costs ₹11 more than a pencil. 3 pens and 5 pencils cost ₹73 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 6 and then add 17. The answer is 161. What is my number?
  16. 16.5 × ? + 17 = 87
  17. 17.The length of a rectangle is 4 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  18. 18.A pen costs ₹14 more than a pencil. 6 pens and 2 pencils cost ₹244 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹11 more than a pencil. 4 pens and 8 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹14 more than a pencil. 4 pens and 8 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  21. 21.Aarav has 18 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 7 and then add 8. The answer is 176. What is my number?
  23. 23.Saanvi has 30 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  24. 24.The length of a rectangle is 13 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 12 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  26. 26.A pen costs ₹8 more than a pencil. 3 pens and 5 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 8(x + 8) = x + 162. What is x?
  28. 28.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹79 in all. What does one pencil cost (in ₹)?
  29. 29.Priya has 18 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 4 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 9 and then add 30. The answer is 282. What is my number?
  32. 32.Pooja has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  33. 33.Saanvi has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  34. 34.I think of a number, multiply it by 4 and then take away 29. The answer is 23. What is my number?
  35. 35.I think of a number, multiply it by 4 and then add 32. The answer is 140. What is my number?
  36. 36.Rahul has 20 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  37. 37.Diya has 16 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 5 and then take away 32. The answer is 58. What is my number?
  39. 39.The length of a rectangle is 13 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 8 and then add 19. The answer is 219. What is my number?

Answer key

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

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