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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 99 · 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 7 and then take away 9. The answer is 82. What is my number?
  2. 2.I think of a number, multiply it by 8 and then take away 27. The answer is 21. What is my number?
  3. 3.5 × ? + 23 = 78
  4. 4.12 × ? + 22 = 202
  5. 5.9 × ? − 7 = 65
  6. 6.A pen costs ₹6 more than a pencil. 4 pens and 7 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  7. 7.Nisha has 19 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  8. 8.The length of a rectangle is 14 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  9. 9.Vivaan has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  10. 10.A pen costs ₹8 more than a pencil. 3 pens and 5 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  11. 11.The length of a rectangle is 13 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  12. 12.Diya has 15 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  13. 13.6 × ? − 10 = 20
  14. 14.Saanvi has 29 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  15. 15.Solve for x: 3(x + 8) = x + 48. What is x?
  16. 16.The length of a rectangle is 5 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  17. 17.Solve for x: 3(x + 5) = 2x + 16. What is x?
  18. 18.A pen costs ₹14 more than a pencil. 6 pens and 2 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  19. 19.12 × ? − 2 = 214
  20. 20.9 × ? − 24 = 102
  21. 21.2 × ? + 15 = 33
  22. 22.A pen costs ₹3 more than a pencil. 6 pens and 3 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  23. 23.Karan has 18 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  24. 24.Solve for x: 9(x + 6) = 3x + 96. What is x?
  25. 25.I think of a number, multiply it by 8 and then add 30. The answer is 230. What is my number?
  26. 26.I think of a number, multiply it by 3 and then add 14. The answer is 23. What is my number?
  27. 27.Kavya has 21 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹3 more than a pencil. 2 pens and 7 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹4 more than a pencil. 3 pens and 2 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  30. 30.Rahul has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  31. 31.Solve for x: 7(x + 7) = x + 115. What is x?
  32. 32.Arjun has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  33. 33.A pen costs ₹9 more than a pencil. 2 pens and 3 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 3 and then add 35. The answer is 47. What is my number?
  35. 35.Solve for x: 5(x + 2) = 4x + 21. What is x?
  36. 36.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  37. 37.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 2 and then add 1. The answer is 57. What is my number?
  39. 39.The length of a rectangle is 15 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  40. 40.The length of a rectangle is 14 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?

Answer key

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

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