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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 754 · 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.Solve for x: 9(x + 2) = 3x + 48. What is x?
  2. 2.I think of a number, multiply it by 2 and then take away 12. The answer is 48. What is my number?
  3. 3.A pen costs ₹5 more than a pencil. 4 pens and 3 pencils cost ₹55 in all. What does one pencil cost (in ₹)?
  4. 4.A pen costs ₹3 more than a pencil. 2 pens and 5 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 6 and then add 17. The answer is 47. What is my number?
  6. 6.I think of a number, multiply it by 3 and then add 12. The answer is 87. What is my number?
  7. 7.The length of a rectangle is 12 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  8. 8.Solve for x: 3(x + 9) = x + 45. What is x?
  9. 9.I think of a number, multiply it by 5 and then add 4. The answer is 84. What is my number?
  10. 10.A pen costs ₹15 more than a pencil. 6 pens and 7 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  11. 11.2 × ? − 26 = 12
  12. 12.A pen costs ₹7 more than a pencil. 6 pens and 4 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 6 and then add 26. The answer is 164. What is my number?
  14. 14.Solve for x: 8(x + 4) = 2x + 68. What is x?
  15. 15.The length of a rectangle is 12 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  16. 16.Rahul has 21 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  17. 17.Zoya has 22 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 3 and then add 28. The answer is 37. What is my number?
  19. 19.Solve for x: 9(x + 1) = x + 121. What is x?
  20. 20.A pen costs ₹14 more than a pencil. 5 pens and 4 pencils cost ₹223 in all. What does one pencil cost (in ₹)?
  21. 21.The length of a rectangle is 8 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 5 and then take away 3. The answer is 62. What is my number?
  23. 23.Meera has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  24. 24.Pooja has 19 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  25. 25.A pen costs ₹9 more than a pencil. 6 pens and 2 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  26. 26.Diya has 26 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  27. 27.5 × ? + 17 = 92
  28. 28.The length of a rectangle is 15 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  29. 29.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  30. 30.5 × ? − 13 = 37
  31. 31.10 × ? − 19 = 11
  32. 32.I think of a number, multiply it by 2 and then take away 11. The answer is 23. What is my number?
  33. 33.The length of a rectangle is 15 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 3 and then add 3. The answer is 27. What is my number?
  35. 35.Solve for x: 6(x + 2) = 2x + 32. What is x?
  36. 36.The length of a rectangle is 9 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 15 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 7 and then add 24. The answer is 122. What is my number?
  39. 39.The length of a rectangle is 12 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 3 and then take away 5. The answer is 22. What is my number?

Answer key

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

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