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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 354 · 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 add 13. The answer is 31. What is my number?
  2. 2.Ananya has 14 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹9 more than a pencil. 3 pens and 5 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
  4. 4.The length of a rectangle is 12 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  5. 5.9 × ? − 15 = 147
  6. 6.I think of a number, multiply it by 8 and then take away 4. The answer is 92. What is my number?
  7. 7.8 × ? + 29 = 77
  8. 8.The length of a rectangle is 3 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  9. 9.I think of a number, multiply it by 8 and then add 4. The answer is 124. What is my number?
  10. 10.A pen costs ₹2 more than a pencil. 4 pens and 8 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 6 and then add 40. The answer is 142. What is my number?
  12. 12.The length of a rectangle is 10 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  13. 13.3 × ? + 14 = 83
  14. 14.A pen costs ₹13 more than a pencil. 5 pens and 6 pencils cost ₹175 in all. What does one pencil cost (in ₹)?
  15. 15.4 × ? − 8 = 16
  16. 16.11 × ? − 24 = 97
  17. 17.Ananya has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  18. 18.Farhan has 21 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  19. 19.I think of a number, multiply it by 3 and then add 11. The answer is 92. What is my number?
  20. 20.The length of a rectangle is 4 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  21. 21.Kabir has 17 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  22. 22.Karan has 28 coins, all ₹5 and ₹2 coins, worth ₹131 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 3(x + 2) = x + 24. What is x?
  24. 24.3 × ? + 11 = 26
  25. 25.I think of a number, multiply it by 5 and then add 5. The answer is 125. What is my number?
  26. 26.Solve for x: 9(x + 5) = 2x + 164. What is x?
  27. 27.3 × ? − 16 = 38
  28. 28.6 × ? + 30 = 168
  29. 29.The length of a rectangle is 8 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  30. 30.Solve for x: 3(x + 6) = 2x + 35. What is x?
  31. 31.I think of a number, multiply it by 7 and then take away 38. The answer is 137. What is my number?
  32. 32.Dev has 18 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  33. 33.I think of a number, multiply it by 7 and then add 20. The answer is 202. What is my number?
  34. 34.A pen costs ₹3 more than a pencil. 6 pens and 8 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 3(x + 6) = x + 28. What is x?
  36. 36.A pen costs ₹9 more than a pencil. 3 pens and 3 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  37. 37.6 × ? − 26 = 112
  38. 38.6 × ? + 12 = 48
  39. 39.I think of a number, multiply it by 2 and then add 25. The answer is 43. What is my number?
  40. 40.Rahul has 23 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?

Answer key

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

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