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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 59 · 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 2 and then add 18. The answer is 72. What is my number?
  2. 2.Aarav has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 8 and then add 38. The answer is 278. What is my number?
  4. 4.I think of a number, multiply it by 7 and then take away 34. The answer is 78. What is my number?
  5. 5.I think of a number, multiply it by 5 and then add 12. The answer is 77. What is my number?
  6. 6.6 × ? + 14 = 116
  7. 7.The length of a rectangle is 13 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  8. 8.Solve for x: 8(x + 8) = 4x + 128. What is x?
  9. 9.Solve for x: 4(x + 9) = x + 66. What is x?
  10. 10.Kabir has 26 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  11. 11.The length of a rectangle is 11 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  12. 12.The length of a rectangle is 12 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  13. 13.Solve for x: 9(x + 9) = 2x + 130. What is x?
  14. 14.The length of a rectangle is 9 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 9 and then take away 7. The answer is 47. What is my number?
  16. 16.3 × ? + 20 = 32
  17. 17.Isha has 18 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 3(x + 2) = x + 44. What is x?
  19. 19.Nisha has 17 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  20. 20.Solve for x: 7(x + 5) = 6x + 48. What is x?
  21. 21.A pen costs ₹11 more than a pencil. 4 pens and 6 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  22. 22.Tara has 15 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  23. 23.I think of a number, multiply it by 9 and then take away 3. The answer is 240. What is my number?
  24. 24.I think of a number, multiply it by 5 and then add 21. The answer is 166. What is my number?
  25. 25.5 × ? − 12 = 103
  26. 26.A pen costs ₹12 more than a pencil. 4 pens and 6 pencils cost ₹228 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 8 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  28. 28.Kabir has 14 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  29. 29.Solve for x: 3(x + 1) = x + 21. What is x?
  30. 30.Solve for x: 8(x + 3) = 7x + 27. What is x?
  31. 31.3 × ? + 6 = 33
  32. 32.Solve for x: 6(x + 7) = 4x + 68. What is x?
  33. 33.Zoya has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  34. 34.I think of a number, multiply it by 9 and then take away 9. The answer is 126. What is my number?
  35. 35.6 × ? + 7 = 97
  36. 36.A pen costs ₹9 more than a pencil. 4 pens and 5 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  37. 37.Vivaan has 23 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  38. 38.The length of a rectangle is 7 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  39. 39.Farhan has 22 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  40. 40.Solve for x: 9(x + 4) = 4x + 91. What is x?

Answer key

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

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