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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 987 · 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 12. The answer is 21. What is my number?
  2. 2.I think of a number, multiply it by 4 and then take away 2. The answer is 90. What is my number?
  3. 3.I think of a number, multiply it by 9 and then take away 8. The answer is 172. What is my number?
  4. 4.Solve for x: 8(x + 7) = 4x + 72. What is x?
  5. 5.Nisha has 23 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 4(x + 3) = 3x + 14. What is x?
  7. 7.7 × ? − 27 = 29
  8. 8.12 × ? − 10 = 38
  9. 9.I think of a number, multiply it by 3 and then take away 7. The answer is 14. What is my number?
  10. 10.11 × ? − 7 = 103
  11. 11.I think of a number, multiply it by 4 and then take away 16. The answer is 100. What is my number?
  12. 12.4 × ? − 10 = 26
  13. 13.I think of a number, multiply it by 6 and then add 22. The answer is 70. What is my number?
  14. 14.Solve for x: 4(x + 4) = x + 34. What is x?
  15. 15.The length of a rectangle is 10 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  16. 16.A pen costs ₹10 more than a pencil. 3 pens and 8 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  17. 17.Isha has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  18. 18.8 × ? + 27 = 43
  19. 19.Karan has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  20. 20.I think of a number, multiply it by 5 and then take away 9. The answer is 86. What is my number?
  21. 21.A pen costs ₹7 more than a pencil. 3 pens and 4 pencils cost ₹77 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 5 and then add 38. The answer is 103. What is my number?
  23. 23.I think of a number, multiply it by 3 and then add 38. The answer is 116. What is my number?
  24. 24.Vivaan has 18 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  25. 25.Vivaan has 26 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 5 and then add 35. The answer is 90. What is my number?
  27. 27.I think of a number, multiply it by 5 and then take away 13. The answer is 72. What is my number?
  28. 28.The length of a rectangle is 7 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  29. 29.I think of a number, multiply it by 7 and then take away 22. The answer is 139. What is my number?
  30. 30.The length of a rectangle is 6 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  31. 31.Nisha has 22 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  32. 32.Rahul has 26 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  33. 33.A pen costs ₹14 more than a pencil. 3 pens and 2 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 5 and then take away 26. The answer is 79. What is my number?
  35. 35.The length of a rectangle is 12 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  36. 36.Diya has 17 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  37. 37.The length of a rectangle is 11 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  38. 38.The length of a rectangle is 5 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  39. 39.Aditya has 30 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  40. 40.9 × ? − 1 = 53

Answer key

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

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