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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 215 · 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 3 and then take away 7. The answer is 80. What is my number?
  2. 2.I think of a number, multiply it by 5 and then add 5. The answer is 35. What is my number?
  3. 3.The length of a rectangle is 13 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 9 and then take away 12. The answer is 132. What is my number?
  5. 5.Rahul has 30 coins, all ₹5 and ₹2 coins, worth ₹111 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 5 and then take away 15. The answer is 20. What is my number?
  7. 7.A pen costs ₹10 more than a pencil. 2 pens and 8 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 2 and then take away 24. The answer is 28. What is my number?
  9. 9.Tara has 13 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  10. 10.The length of a rectangle is 3 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  11. 11.A pen costs ₹12 more than a pencil. 2 pens and 6 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹3 more than a pencil. 4 pens and 8 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 7 and then add 35. The answer is 84. What is my number?
  14. 14.Solve for x: 3(x + 3) = 2x + 15. What is x?
  15. 15.A pen costs ₹13 more than a pencil. 3 pens and 3 pencils cost ₹159 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹14 more than a pencil. 6 pens and 8 pencils cost ₹364 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 8 and then take away 16. The answer is 160. What is my number?
  18. 18.I think of a number, multiply it by 6 and then take away 21. The answer is 27. What is my number?
  19. 19.Diya has 28 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  20. 20.A pen costs ₹6 more than a pencil. 2 pens and 4 pencils cost ₹30 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 2 and then add 26. The answer is 80. What is my number?
  22. 22.A pen costs ₹14 more than a pencil. 6 pens and 7 pencils cost ₹201 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹7 more than a pencil. 6 pens and 2 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  24. 24.2 × ? + 4 = 48
  25. 25.Solve for x: 6(x + 6) = 2x + 116. What is x?
  26. 26.The length of a rectangle is 14 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  27. 27.The length of a rectangle is 6 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  28. 28.3 × ? − 20 = 4
  29. 29.4 × ? + 16 = 28
  30. 30.Diya has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹10 more than a pencil. 4 pens and 3 pencils cost ₹131 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹5 more than a pencil. 2 pens and 3 pencils cost ₹65 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹13 more than a pencil. 3 pens and 6 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  34. 34.The length of a rectangle is 3 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  35. 35.The length of a rectangle is 3 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  36. 36.Solve for x: 9(x + 3) = 6x + 60. What is x?
  37. 37.The length of a rectangle is 8 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 2 and then take away 23. The answer is 31. What is my number?
  39. 39.A pen costs ₹6 more than a pencil. 3 pens and 6 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  40. 40.9 × ? − 14 = 211

Answer key

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

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