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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 926 · 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. 1.10 × ? − 22 = 58
  2. 2.A pen costs ₹6 more than a pencil. 2 pens and 5 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  3. 3.7 × ? + 1 = 141
  4. 4.I think of a number, multiply it by 3 and then take away 6. The answer is 21. What is my number?
  5. 5.The length of a rectangle is 4 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  6. 6.Vivaan has 10 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  7. 7.Solve for x: 4(x + 9) = 2x + 42. What is x?
  8. 8.A pen costs ₹13 more than a pencil. 6 pens and 6 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹12 more than a pencil. 4 pens and 6 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 4 and then take away 3. The answer is 101. What is my number?
  11. 11.Nisha has 24 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 5 and then take away 10. The answer is 95. What is my number?
  13. 13.I think of a number, multiply it by 5 and then take away 25. The answer is 80. What is my number?
  14. 14.I think of a number, multiply it by 2 and then add 9. The answer is 23. What is my number?
  15. 15.Farhan has 26 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  16. 16.Solve for x: 8(x + 4) = x + 46. What is x?
  17. 17.I think of a number, multiply it by 7 and then take away 6. The answer is 141. What is my number?
  18. 18.The length of a rectangle is 10 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  19. 19.I think of a number, multiply it by 9 and then add 40. The answer is 76. What is my number?
  20. 20.The length of a rectangle is 6 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 8 and then add 8. The answer is 80. What is my number?
  22. 22.Solve for x: 3(x + 4) = 2x + 15. What is x?
  23. 23.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  24. 24.Manav has 24 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  25. 25.9 × ? − 27 = 54
  26. 26.A pen costs ₹9 more than a pencil. 2 pens and 3 pencils cost ₹43 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 7(x + 3) = 5x + 43. What is x?
  28. 28.I think of a number, multiply it by 4 and then take away 4. The answer is 64. What is my number?
  29. 29.11 × ? + 26 = 48
  30. 30.11 × ? + 19 = 195
  31. 31.A pen costs ₹11 more than a pencil. 2 pens and 2 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹6 more than a pencil. 6 pens and 2 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 8 and then add 23. The answer is 103. What is my number?
  34. 34.8 × ? + 1 = 73
  35. 35.The length of a rectangle is 6 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  36. 36.The length of a rectangle is 14 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  37. 37.10 × ? − 28 = 32
  38. 38.The length of a rectangle is 6 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  39. 39.The length of a rectangle is 5 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 8 and then take away 9. The answer is 55. What is my number?

Answer key

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

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