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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 6 · 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 4 and then add 27. The answer is 39. What is my number?
  2. 2.I think of a number, multiply it by 5 and then take away 1. The answer is 99. What is my number?
  3. 3.A pen costs ₹10 more than a pencil. 5 pens and 4 pencils cost ₹203 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 7(x + 5) = 5x + 57. What is x?
  5. 5.I think of a number, multiply it by 6 and then add 24. The answer is 144. What is my number?
  6. 6.I think of a number, multiply it by 5 and then add 8. The answer is 78. What is my number?
  7. 7.A pen costs ₹7 more than a pencil. 2 pens and 6 pencils cost ₹38 in all. What does one pencil cost (in ₹)?
  8. 8.Aditya has 17 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 9 and then add 22. The answer is 112. What is my number?
  10. 10.Rohan has 25 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹8 more than a pencil. 3 pens and 6 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 3(x + 5) = 2x + 20. What is x?
  13. 13.The length of a rectangle is 12 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  14. 14.Isha has 20 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 14 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  16. 16.A pen costs ₹12 more than a pencil. 5 pens and 2 pencils cost ₹193 in all. What does one pencil cost (in ₹)?
  17. 17.7 × ? − 3 = 165
  18. 18.A pen costs ₹10 more than a pencil. 6 pens and 5 pencils cost ₹280 in all. What does one pencil cost (in ₹)?
  19. 19.The length of a rectangle is 13 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  20. 20.4 × ? + 3 = 99
  21. 21.I think of a number, multiply it by 2 and then add 28. The answer is 50. What is my number?
  22. 22.5 × ? − 24 = 1
  23. 23.Solve for x: 8(x + 3) = x + 150. What is x?
  24. 24.A pen costs ₹4 more than a pencil. 5 pens and 2 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 9(x + 3) = 8x + 34. What is x?
  26. 26.A pen costs ₹5 more than a pencil. 5 pens and 8 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  27. 27.Saanvi has 27 coins, all ₹5 and ₹2 coins, worth ₹123 in all. How many ₹5 coins are there?
  28. 28.The length of a rectangle is 10 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  29. 29.Nisha has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  30. 30.Aarav has 26 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  31. 31.4 × ? + 25 = 53
  32. 32.12 × ? − 7 = 173
  33. 33.The length of a rectangle is 14 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  34. 34.12 × ? − 17 = 103
  35. 35.A pen costs ₹5 more than a pencil. 2 pens and 3 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 8 and then add 3. The answer is 155. What is my number?
  37. 37.Arjun has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 6 and then take away 35. The answer is 37. What is my number?
  39. 39.I think of a number, multiply it by 2 and then take away 2. The answer is 22. What is my number?
  40. 40.Tara has 27 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?

Answer key

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

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