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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 672 · 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 4 and then take away 20. The answer is 32. What is my number?
  2. 2.3 × ? + 25 = 46
  3. 3.A pen costs ₹14 more than a pencil. 6 pens and 3 pencils cost ₹183 in all. What does one pencil cost (in ₹)?
  4. 4.12 × ? + 18 = 174
  5. 5.Solve for x: 9(x + 6) = 8x + 57. What is x?
  6. 6.A pen costs ₹15 more than a pencil. 4 pens and 8 pencils cost ₹288 in all. What does one pencil cost (in ₹)?
  7. 7.3 × ? − 21 = 36
  8. 8.Vivaan has 27 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  9. 9.The length of a rectangle is 4 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 6 and then take away 21. The answer is 147. What is my number?
  11. 11.Farhan has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  12. 12.The length of a rectangle is 3 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 2 and then take away 5. The answer is 3. What is my number?
  14. 14.The length of a rectangle is 7 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  15. 15.Meera has 12 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 2 and then add 22. The answer is 30. What is my number?
  17. 17.The length of a rectangle is 13 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 3 and then take away 18. The answer is 51. What is my number?
  19. 19.The length of a rectangle is 9 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  20. 20.Zoya has 25 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 2 and then take away 38. The answer is 2. What is my number?
  22. 22.Karan has 16 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹15 more than a pencil. 6 pens and 3 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 6 and then take away 24. The answer is 78. What is my number?
  25. 25.A pen costs ₹8 more than a pencil. 4 pens and 6 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  26. 26.Ananya has 17 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹4 more than a pencil. 4 pens and 2 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 6 and then add 27. The answer is 99. What is my number?
  29. 29.A pen costs ₹8 more than a pencil. 6 pens and 4 pencils cost ₹198 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 5 and then add 35. The answer is 180. What is my number?
  31. 31.Aarav has 23 coins, all ₹5 and ₹2 coins, worth ₹100 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 7 and then add 40. The answer is 159. What is my number?
  34. 34.I think of a number, multiply it by 2 and then add 10. The answer is 62. What is my number?
  35. 35.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 9 and then take away 7. The answer is 83. What is my number?
  37. 37.I think of a number, multiply it by 4 and then take away 37. The answer is 59. What is my number?
  38. 38.Solve for x: 9(x + 8) = 5x + 100. What is x?
  39. 39.10 × ? − 20 = 220
  40. 40.I think of a number, multiply it by 9 and then add 19. The answer is 208. What is my number?

Answer key

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

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