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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 742 · 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. 1.6 × ? − 16 = 74
  2. 2.A pen costs ₹13 more than a pencil. 4 pens and 5 pencils cost ₹178 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 9 and then take away 4. The answer is 230. What is my number?
  4. 4.The length of a rectangle is 2 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  5. 5.5 × ? + 2 = 22
  6. 6.The length of a rectangle is 3 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  7. 7.9 × ? + 17 = 71
  8. 8.Farhan has 17 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 9 and then take away 40. The answer is 5. What is my number?
  10. 10.I think of a number, multiply it by 4 and then add 15. The answer is 43. What is my number?
  11. 11.6 × ? − 4 = 26
  12. 12.I think of a number, multiply it by 7 and then add 17. The answer is 164. What is my number?
  13. 13.A pen costs ₹6 more than a pencil. 6 pens and 2 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  14. 14.7 × ? + 8 = 85
  15. 15.Kavya has 23 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  16. 16.The length of a rectangle is 11 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 7 and then add 35. The answer is 217. What is my number?
  18. 18.I think of a number, multiply it by 9 and then take away 38. The answer is 43. What is my number?
  19. 19.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹32 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 7 and then take away 14. The answer is 91. What is my number?
  21. 21.A pen costs ₹10 more than a pencil. 3 pens and 2 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  22. 22.Sneha has 26 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹8 more than a pencil. 6 pens and 3 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 8 and then take away 8. The answer is 16. What is my number?
  25. 25.A pen costs ₹9 more than a pencil. 6 pens and 6 pencils cost ₹270 in all. What does one pencil cost (in ₹)?
  26. 26.Solve for x: 4(x + 1) = x + 25. What is x?
  27. 27.The length of a rectangle is 7 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  28. 28.The length of a rectangle is 9 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  29. 29.Solve for x: 6(x + 3) = 5x + 19. What is x?
  30. 30.8 × ? + 25 = 81
  31. 31.Solve for x: 8(x + 2) = 6x + 40. What is x?
  32. 32.I think of a number, multiply it by 9 and then add 30. The answer is 48. What is my number?
  33. 33.The length of a rectangle is 2 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 8 and then take away 33. The answer is 143. What is my number?
  35. 35.Diya has 23 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 5 and then take away 1. The answer is 149. What is my number?
  37. 37.Solve for x: 3(x + 9) = 2x + 42. What is x?
  38. 38.Aditya has 26 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  39. 39.Aditya has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 7 and then add 20. The answer is 62. What is my number?

Answer key

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

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