← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 801 · 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.A pen costs ₹15 more than a pencil. 3 pens and 4 pencils cost ₹171 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 9 and then take away 4. The answer is 131. What is my number?
  3. 3.The length of a rectangle is 9 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 15 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  5. 5.Solve for x: 7(x + 4) = x + 64. What is x?
  6. 6.The length of a rectangle is 15 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  7. 7.The length of a rectangle is 11 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  8. 8.Solve for x: 7(x + 8) = x + 110. What is x?
  9. 9.The length of a rectangle is 13 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 7 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 3 and then take away 18. The answer is 9. What is my number?
  12. 12.I think of a number, multiply it by 7 and then add 32. The answer is 88. What is my number?
  13. 13.The length of a rectangle is 11 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  14. 14.Arjun has 29 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  15. 15.Solve for x: 3(x + 1) = 2x + 20. What is x?
  16. 16.I think of a number, multiply it by 5 and then add 2. The answer is 22. What is my number?
  17. 17.The length of a rectangle is 7 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  18. 18.Karan has 29 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  19. 19.Solve for x: 6(x + 2) = 4x + 34. What is x?
  20. 20.12 × ? − 24 = 36
  21. 21.Solve for x: 3(x + 8) = x + 30. What is x?
  22. 22.Solve for x: 3(x + 2) = x + 24. What is x?
  23. 23.Solve for x: 7(x + 2) = 2x + 64. What is x?
  24. 24.I think of a number, multiply it by 8 and then add 24. The answer is 56. What is my number?
  25. 25.I think of a number, multiply it by 9 and then take away 39. The answer is 105. What is my number?
  26. 26.A pen costs ₹5 more than a pencil. 2 pens and 8 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  27. 27.7 × ? − 14 = 161
  28. 28.Solve for x: 8(x + 4) = 4x + 44. What is x?
  29. 29.The length of a rectangle is 3 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  30. 30.4 × ? − 14 = 78
  31. 31.2 × ? − 1 = 33
  32. 32.The length of a rectangle is 7 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  33. 33.A pen costs ₹14 more than a pencil. 4 pens and 8 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹13 more than a pencil. 4 pens and 3 pencils cost ₹157 in all. What does one pencil cost (in ₹)?
  35. 35.The length of a rectangle is 9 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 4 and then take away 20. The answer is 72. What is my number?
  37. 37.I think of a number, multiply it by 5 and then take away 13. The answer is 92. What is my number?
  38. 38.The length of a rectangle is 2 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  39. 39.A pen costs ₹3 more than a pencil. 3 pens and 5 pencils cost ₹49 in all. What does one pencil cost (in ₹)?
  40. 40.Sneha has 30 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?

Answer key

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

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude