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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 856 · 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.

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  1. 1.I think of a number, multiply it by 8 and then add 1. The answer is 169. What is my number?
  2. 2.A pen costs ₹9 more than a pencil. 5 pens and 3 pencils cost ₹181 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹5 more than a pencil. 3 pens and 8 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  4. 4.8 × ? + 21 = 85
  5. 5.Solve for x: 3(x + 1) = 2x + 17. What is x?
  6. 6.I think of a number, multiply it by 8 and then take away 21. The answer is 219. What is my number?
  7. 7.Karan has 27 coins, all ₹5 and ₹2 coins, worth ₹126 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹2 more than a pencil. 4 pens and 4 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 4(x + 2) = 3x + 21. What is x?
  11. 11.Vivaan has 19 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  12. 12.10 × ? + 19 = 239
  13. 13.The length of a rectangle is 7 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  14. 14.Solve for x: 9(x + 8) = 4x + 102. What is x?
  15. 15.12 × ? − 7 = 101
  16. 16.The length of a rectangle is 15 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  17. 17.7 × ? + 21 = 112
  18. 18.A pen costs ₹14 more than a pencil. 5 pens and 8 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 7 and then add 19. The answer is 131. What is my number?
  20. 20.A pen costs ₹14 more than a pencil. 3 pens and 6 pencils cost ₹195 in all. What does one pencil cost (in ₹)?
  21. 21.4 × ? − 2 = 38
  22. 22.I think of a number, multiply it by 9 and then take away 22. The answer is 239. What is my number?
  23. 23.A pen costs ₹4 more than a pencil. 2 pens and 2 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹3 more than a pencil. 3 pens and 4 pencils cost ₹37 in all. What does one pencil cost (in ₹)?
  25. 25.A pen costs ₹7 more than a pencil. 5 pens and 2 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 6 and then take away 2. The answer is 124. What is my number?
  27. 27.Solve for x: 6(x + 4) = 4x + 52. What is x?
  28. 28.I think of a number, multiply it by 5 and then add 9. The answer is 94. What is my number?
  29. 29.A pen costs ₹12 more than a pencil. 3 pens and 2 pencils cost ₹61 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 2 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 8 and then take away 2. The answer is 230. What is my number?
  32. 32.Solve for x: 4(x + 2) = 3x + 9. What is x?
  33. 33.I think of a number, multiply it by 6 and then take away 8. The answer is 22. What is my number?
  34. 34.A pen costs ₹5 more than a pencil. 2 pens and 7 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  35. 35.Kavya has 26 coins, all ₹5 and ₹2 coins, worth ₹112 in all. How many ₹5 coins are there?
  36. 36.Solve for x: 3(x + 9) = 2x + 37. What is x?
  37. 37.A pen costs ₹5 more than a pencil. 4 pens and 8 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 5 and then add 28. The answer is 118. What is my number?
  39. 39.A pen costs ₹4 more than a pencil. 6 pens and 5 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 4 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?

Answer key

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

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