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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 91 · 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 ₹14 more than a pencil. 3 pens and 4 pencils cost ₹161 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 8 and then take away 16. The answer is 16. What is my number?
  3. 3.The length of a rectangle is 2 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  4. 4.A pen costs ₹13 more than a pencil. 3 pens and 7 pencils cost ₹239 in all. What does one pencil cost (in ₹)?
  5. 5.The length of a rectangle is 6 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  6. 6.3 × ? − 1 = 62
  7. 7.5 × ? − 7 = 28
  8. 8.I think of a number, multiply it by 9 and then take away 8. The answer is 109. What is my number?
  9. 9.I think of a number, multiply it by 3 and then take away 31. The answer is 11. What is my number?
  10. 10.Diya has 14 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  11. 11.I think of a number, multiply it by 2 and then take away 19. The answer is 9. What is my number?
  12. 12.Solve for x: 3(x + 7) = x + 43. What is x?
  13. 13.Arjun has 19 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  14. 14.Ananya has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  15. 15.Nisha has 10 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  16. 16.10 × ? − 3 = 207
  17. 17.Kabir has 22 coins, all ₹5 and ₹2 coins, worth ₹83 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 12 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 6 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 13 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  21. 21.A pen costs ₹13 more than a pencil. 2 pens and 2 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  22. 22.Solve for x: 6(x + 4) = 4x + 28. What is x?
  23. 23.A pen costs ₹14 more than a pencil. 4 pens and 2 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  24. 24.Arjun has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 3 and then take away 19. The answer is 20. What is my number?
  26. 26.11 × ? − 12 = 32
  27. 27.I think of a number, multiply it by 5 and then add 21. The answer is 86. What is my number?
  28. 28.I think of a number, multiply it by 8 and then add 1. The answer is 89. What is my number?
  29. 29.The length of a rectangle is 14 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  30. 30.Solve for x: 9(x + 2) = 2x + 39. What is x?
  31. 31.I think of a number, multiply it by 7 and then add 18. The answer is 39. What is my number?
  32. 32.Solve for x: 5(x + 1) = 2x + 62. What is x?
  33. 33.11 × ? + 25 = 135
  34. 34.3 × ? + 23 = 38
  35. 35.I think of a number, multiply it by 2 and then take away 2. The answer is 24. What is my number?
  36. 36.I think of a number, multiply it by 4 and then add 22. The answer is 42. What is my number?
  37. 37.12 × ? + 14 = 50
  38. 38.The length of a rectangle is 6 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  39. 39.Isha has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  40. 40.Solve for x: 6(x + 3) = 5x + 27. What is x?

Answer key

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

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