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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 959 · 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.The length of a rectangle is 10 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  2. 2.9 × ? + 15 = 132
  3. 3.Aarav has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  4. 4.I think of a number, multiply it by 3 and then add 30. The answer is 57. What is my number?
  5. 5.Aditya has 21 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 9 and then take away 17. The answer is 136. What is my number?
  7. 7.Karan has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹8 more than a pencil. 6 pens and 8 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  9. 9.The length of a rectangle is 6 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 8 and then take away 25. The answer is 143. What is my number?
  11. 11.A pen costs ₹13 more than a pencil. 3 pens and 8 pencils cost ₹149 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 7 and then add 1. The answer is 57. What is my number?
  13. 13.Solve for x: 4(x + 1) = 3x + 9. What is x?
  14. 14.A pen costs ₹5 more than a pencil. 5 pens and 8 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  15. 15.Dev has 28 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  16. 16.Solve for x: 5(x + 2) = 2x + 67. What is x?
  17. 17.Dev has 13 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 4 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 14 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  20. 20.Solve for x: 8(x + 6) = 2x + 54. What is x?
  21. 21.Manav has 16 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  22. 22.Nisha has 24 coins, all ₹5 and ₹2 coins, worth ₹114 in all. How many ₹5 coins are there?
  23. 23.2 × ? + 22 = 36
  24. 24.Solve for x: 8(x + 7) = 7x + 61. What is x?
  25. 25.Solve for x: 7(x + 5) = 3x + 107. What is x?
  26. 26.Solve for x: 4(x + 9) = 2x + 72. What is x?
  27. 27.12 × ? + 27 = 51
  28. 28.Aditya has 13 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  29. 29.4 × ? + 5 = 69
  30. 30.The length of a rectangle is 8 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  31. 31.The length of a rectangle is 9 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  32. 32.A pen costs ₹4 more than a pencil. 2 pens and 6 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 3 and then take away 23. The answer is 25. What is my number?
  34. 34.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  35. 35.I think of a number, multiply it by 8 and then take away 32. The answer is 112. What is my number?
  36. 36.10 × ? + 4 = 144
  37. 37.The length of a rectangle is 2 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 5 and then add 25. The answer is 105. What is my number?
  39. 39.The length of a rectangle is 6 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  40. 40.A pen costs ₹13 more than a pencil. 6 pens and 6 pencils cost ₹282 in all. What does one pencil cost (in ₹)?

Answer key

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

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