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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 178 · 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.

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  1. 1.I think of a number, multiply it by 9 and then add 26. The answer is 44. What is my number?
  2. 2.The length of a rectangle is 4 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  3. 3.Saanvi has 27 coins, all ₹5 and ₹2 coins, worth ₹126 in all. How many ₹5 coins are there?
  4. 4.10 × ? + 18 = 88
  5. 5.The length of a rectangle is 14 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  6. 6.8 × ? − 26 = 14
  7. 7.The length of a rectangle is 11 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  8. 8.The length of a rectangle is 2 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  9. 9.Vivaan has 21 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  10. 10.3 × ? + 21 = 93
  11. 11.3 × ? − 30 = 15
  12. 12.A pen costs ₹4 more than a pencil. 5 pens and 2 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 8 and then take away 34. The answer is 22. What is my number?
  14. 14.The length of a rectangle is 11 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  15. 15.11 × ? − 21 = 210
  16. 16.Solve for x: 4(x + 4) = x + 58. What is x?
  17. 17.I think of a number, multiply it by 9 and then take away 22. The answer is 68. What is my number?
  18. 18.4 × ? − 8 = 76
  19. 19.I think of a number, multiply it by 7 and then add 10. The answer is 115. What is my number?
  20. 20.I think of a number, multiply it by 9 and then take away 12. The answer is 159. What is my number?
  21. 21.Diya has 13 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹8 more than a pencil. 3 pens and 3 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  23. 23.The length of a rectangle is 14 m more than its breadth. Its perimeter is 148 m. What is its breadth (in m)?
  24. 24.The length of a rectangle is 10 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  25. 25.I think of a number, multiply it by 9 and then take away 14. The answer is 49. What is my number?
  26. 26.8 × ? − 10 = 30
  27. 27.Solve for x: 4(x + 4) = x + 73. What is x?
  28. 28.Karan has 24 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹6 more than a pencil. 5 pens and 6 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  30. 30.7 × ? + 24 = 192
  31. 31.Aarav has 17 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 5(x + 7) = 3x + 55. What is x?
  33. 33.9 × ? − 17 = 100
  34. 34.I think of a number, multiply it by 6 and then add 32. The answer is 128. What is my number?
  35. 35.Solve for x: 6(x + 8) = 2x + 76. What is x?
  36. 36.I think of a number, multiply it by 2 and then add 11. The answer is 69. What is my number?
  37. 37.I think of a number, multiply it by 7 and then take away 2. The answer is 82. What is my number?
  38. 38.9 × ? + 11 = 38
  39. 39.Aarav has 22 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 2 and then take away 7. The answer is 33. What is my number?

Answer key

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

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