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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 342 · 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 9 and then take away 12. The answer is 240. What is my number?
  2. 2.I think of a number, multiply it by 3 and then add 7. The answer is 67. What is my number?
  3. 3.Solve for x: 9(x + 6) = x + 198. What is x?
  4. 4.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 8 and then add 34. The answer is 98. What is my number?
  6. 6.Nisha has 25 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  7. 7.Ishaan has 18 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  8. 8.The length of a rectangle is 11 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  9. 9.I think of a number, multiply it by 8 and then add 10. The answer is 26. What is my number?
  10. 10.Karan has 17 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  11. 11.Solve for x: 9(x + 6) = 6x + 63. What is x?
  12. 12.A pen costs ₹2 more than a pencil. 2 pens and 6 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹2 more than a pencil. 4 pens and 5 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  15. 15.Solve for x: 5(x + 7) = x + 75. What is x?
  16. 16.Pooja has 16 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹6 more than a pencil. 4 pens and 2 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  18. 18.Solve for x: 9(x + 5) = 2x + 73. What is x?
  19. 19.A pen costs ₹13 more than a pencil. 2 pens and 8 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  20. 20.3 × ? + 22 = 67
  21. 21.Sneha has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  22. 22.Solve for x: 9(x + 2) = x + 154. What is x?
  23. 23.I think of a number, multiply it by 8 and then take away 1. The answer is 103. What is my number?
  24. 24.A pen costs ₹14 more than a pencil. 2 pens and 7 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  25. 25.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  26. 26.Solve for x: 4(x + 3) = 2x + 22. What is x?
  27. 27.The length of a rectangle is 7 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  28. 28.Solve for x: 8(x + 3) = 3x + 119. What is x?
  29. 29.Sneha has 19 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  30. 30.8 × ? + 1 = 177
  31. 31.I think of a number, multiply it by 7 and then add 26. The answer is 47. What is my number?
  32. 32.7 × ? + 4 = 116
  33. 33.Solve for x: 5(x + 3) = 2x + 33. What is x?
  34. 34.The length of a rectangle is 6 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  35. 35.The length of a rectangle is 7 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  36. 36.Solve for x: 7(x + 4) = 2x + 53. What is x?
  37. 37.The length of a rectangle is 15 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  38. 38.Solve for x: 8(x + 8) = 5x + 91. What is x?
  39. 39.A pen costs ₹4 more than a pencil. 6 pens and 6 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 2 and then take away 7. The answer is 17. What is my number?

Answer key

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

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