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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 343 · 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 ₹13 more than a pencil. 2 pens and 7 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 8 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  3. 3.I think of a number, multiply it by 4 and then take away 28. The answer is 88. What is my number?
  4. 4.5 × ? + 15 = 115
  5. 5.Arjun has 20 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 6 and then add 22. The answer is 76. What is my number?
  7. 7.A pen costs ₹5 more than a pencil. 2 pens and 6 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  8. 8.Aarav has 15 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  9. 9.6 × ? + 21 = 117
  10. 10.Nisha has 17 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹5 more than a pencil. 2 pens and 2 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 7(x + 5) = x + 59. What is x?
  13. 13.11 × ? − 6 = 126
  14. 14.A pen costs ₹13 more than a pencil. 4 pens and 3 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  16. 16.A pen costs ₹7 more than a pencil. 6 pens and 4 pencils cost ₹242 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 5 and then add 14. The answer is 34. What is my number?
  18. 18.The length of a rectangle is 10 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  19. 19.A pen costs ₹2 more than a pencil. 4 pens and 3 pencils cost ₹43 in all. What does one pencil cost (in ₹)?
  20. 20.Rohan has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  21. 21.12 × ? − 2 = 238
  22. 22.Diya has 22 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 8(x + 2) = 5x + 22. What is x?
  24. 24.I think of a number, multiply it by 8 and then add 12. The answer is 44. What is my number?
  25. 25.I think of a number, multiply it by 7 and then take away 25. The answer is 38. What is my number?
  26. 26.I think of a number, multiply it by 7 and then take away 13. The answer is 176. What is my number?
  27. 27.Karan has 22 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
  28. 28.The length of a rectangle is 12 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  29. 29.I think of a number, multiply it by 5 and then add 13. The answer is 38. What is my number?
  30. 30.Solve for x: 8(x + 3) = 4x + 44. What is x?
  31. 31.Arjun has 18 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 5 and then take away 1. The answer is 14. What is my number?
  33. 33.Vivaan has 15 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  34. 34.The length of a rectangle is 12 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  35. 35.The length of a rectangle is 12 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 5 and then take away 17. The answer is 43. What is my number?
  37. 37.A pen costs ₹10 more than a pencil. 2 pens and 7 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  38. 38.The length of a rectangle is 7 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  39. 39.2 × ? − 9 = 17
  40. 40.The length of a rectangle is 11 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?

Answer key

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

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