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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 31 · 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 9 and then take away 11. The answer is 142. What is my number?
  2. 2.I think of a number, multiply it by 3 and then add 20. The answer is 83. What is my number?
  3. 3.The length of a rectangle is 7 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 3 and then take away 3. The answer is 87. What is my number?
  5. 5.Ananya has 27 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 5(x + 9) = 4x + 55. What is x?
  7. 7.Meera has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  8. 8.Manav has 24 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  9. 9.Solve for x: 3(x + 2) = 2x + 17. What is x?
  10. 10.A pen costs ₹5 more than a pencil. 3 pens and 7 pencils cost ₹185 in all. What does one pencil cost (in ₹)?
  11. 11.Nisha has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  12. 12.Solve for x: 4(x + 9) = 3x + 42. What is x?
  13. 13.Aarav has 20 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 2 and then take away 25. The answer is 3. What is my number?
  15. 15.The length of a rectangle is 11 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 6 and then add 19. The answer is 115. What is my number?
  17. 17.The length of a rectangle is 6 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 6 and then add 27. The answer is 177. What is my number?
  19. 19.3 × ? + 15 = 90
  20. 20.Manav has 26 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 5 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 7 and then take away 37. The answer is 145. What is my number?
  23. 23.A pen costs ₹11 more than a pencil. 5 pens and 6 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹6 more than a pencil. 2 pens and 5 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  25. 25.10 × ? + 21 = 181
  26. 26.A pen costs ₹7 more than a pencil. 3 pens and 8 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 11 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  28. 28.I think of a number, multiply it by 4 and then add 7. The answer is 99. What is my number?
  29. 29.The length of a rectangle is 8 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  30. 30.The length of a rectangle is 6 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  31. 31.The length of a rectangle is 5 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  32. 32.Tara has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  33. 33.A pen costs ₹4 more than a pencil. 5 pens and 2 pencils cost ₹139 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 6 and then add 29. The answer is 95. What is my number?
  35. 35.4 × ? + 12 = 20
  36. 36.I think of a number, multiply it by 9 and then take away 35. The answer is 235. What is my number?
  37. 37.The length of a rectangle is 15 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 4 and then add 31. The answer is 151. What is my number?
  39. 39.The length of a rectangle is 4 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  40. 40.Pooja has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?

Answer key

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

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