← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 492 · 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 6 and then take away 27. The answer is 81. What is my number?
  2. 2.I think of a number, multiply it by 6 and then take away 24. The answer is 96. What is my number?
  3. 3.A pen costs ₹4 more than a pencil. 5 pens and 2 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 2 and then add 20. The answer is 28. What is my number?
  5. 5.9 × ? + 28 = 208
  6. 6.7 × ? + 18 = 172
  7. 7.Solve for x: 7(x + 7) = x + 157. What is x?
  8. 8.5 × ? + 9 = 34
  9. 9.9 × ? + 2 = 128
  10. 10.7 × ? + 1 = 64
  11. 11.A pen costs ₹5 more than a pencil. 2 pens and 7 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 13 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  13. 13.Vivaan has 25 coins, all ₹5 and ₹2 coins, worth ₹110 in all. How many ₹5 coins are there?
  14. 14.Vivaan has 27 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 8 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  16. 16.A pen costs ₹13 more than a pencil. 6 pens and 5 pencils cost ₹265 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 8 and then take away 10. The answer is 126. What is my number?
  18. 18.Solve for x: 8(x + 2) = 5x + 46. What is x?
  19. 19.A pen costs ₹11 more than a pencil. 4 pens and 3 pencils cost ₹163 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 5 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  21. 21.Solve for x: 8(x + 5) = 3x + 85. What is x?
  22. 22.Solve for x: 3(x + 9) = x + 61. What is x?
  23. 23.3 × ? + 30 = 105
  24. 24.Rohan has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 6(x + 4) = x + 74. What is x?
  26. 26.A pen costs ₹11 more than a pencil. 3 pens and 6 pencils cost ₹213 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹11 more than a pencil. 4 pens and 4 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  28. 28.3 × ? − 7 = 65
  29. 29.5 × ? + 8 = 33
  30. 30.A pen costs ₹15 more than a pencil. 3 pens and 4 pencils cost ₹157 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 3 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  32. 32.The length of a rectangle is 4 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 9 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  34. 34.Pooja has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹13 more than a pencil. 2 pens and 2 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹2 more than a pencil. 2 pens and 7 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  37. 37.Solve for x: 5(x + 3) = 2x + 27. What is x?
  38. 38.The length of a rectangle is 5 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  39. 39.Solve for x: 6(x + 1) = 5x + 23. What is x?
  40. 40.I think of a number, multiply it by 8 and then add 2. The answer is 186. What is my number?

Answer key

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

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