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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 3 · 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 8 and then add 28. The answer is 124. What is my number?
  2. 2.Solve for x: 6(x + 9) = 3x + 93. What is x?
  3. 3.Solve for x: 7(x + 5) = x + 131. What is x?
  4. 4.I think of a number, multiply it by 5 and then add 18. The answer is 78. What is my number?
  5. 5.Solve for x: 6(x + 3) = x + 83. What is x?
  6. 6.I think of a number, multiply it by 3 and then add 5. The answer is 29. What is my number?
  7. 7.Solve for x: 9(x + 6) = 6x + 81. What is x?
  8. 8.7 × ? − 30 = 75
  9. 9.4 × ? + 24 = 68
  10. 10.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  11. 11.A pen costs ₹15 more than a pencil. 2 pens and 2 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 4(x + 8) = 3x + 47. What is x?
  13. 13.The length of a rectangle is 10 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  14. 14.A pen costs ₹9 more than a pencil. 4 pens and 3 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  15. 15.2 × ? + 8 = 14
  16. 16.7 × ? + 26 = 187
  17. 17.A pen costs ₹3 more than a pencil. 2 pens and 5 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 8 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  19. 19.Nisha has 16 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  20. 20.Solve for x: 3(x + 3) = 2x + 23. What is x?
  21. 21.I think of a number, multiply it by 5 and then take away 7. The answer is 133. What is my number?
  22. 22.I think of a number, multiply it by 3 and then add 2. The answer is 89. What is my number?
  23. 23.A pen costs ₹2 more than a pencil. 3 pens and 7 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  24. 24.The length of a rectangle is 14 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  25. 25.3 × ? + 30 = 72
  26. 26.Aarav has 22 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 4(x + 4) = 2x + 42. What is x?
  28. 28.I think of a number, multiply it by 9 and then add 3. The answer is 102. What is my number?
  29. 29.Solve for x: 3(x + 8) = x + 26. What is x?
  30. 30.Solve for x: 4(x + 6) = x + 27. What is x?
  31. 31.Arjun has 30 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  32. 32.The length of a rectangle is 2 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  33. 33.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  34. 34.3 × ? + 9 = 81
  35. 35.I think of a number, multiply it by 3 and then take away 13. The answer is 53. What is my number?
  36. 36.The length of a rectangle is 9 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  37. 37.Arjun has 19 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  38. 38.The length of a rectangle is 14 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  39. 39.Solve for x: 3(x + 7) = 2x + 24. What is x?
  40. 40.Solve for x: 8(x + 9) = 6x + 76. What is x?

Answer key

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

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