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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 986 · 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 2 and then take away 10. The answer is 18. What is my number?
  2. 2.Solve for x: 3(x + 2) = x + 32. What is x?
  3. 3.The length of a rectangle is 10 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  4. 4.Ananya has 20 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  5. 5.I think of a number, multiply it by 9 and then add 4. The answer is 121. What is my number?
  6. 6.The length of a rectangle is 3 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  7. 7.3 × ? + 14 = 77
  8. 8.Meera has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 8 and then take away 1. The answer is 199. What is my number?
  10. 10.Solve for x: 9(x + 2) = x + 42. What is x?
  11. 11.A pen costs ₹4 more than a pencil. 4 pens and 2 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  12. 12.4 × ? − 15 = 49
  13. 13.The length of a rectangle is 10 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  14. 14.A pen costs ₹10 more than a pencil. 6 pens and 8 pencils cost ₹284 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 6 and then add 28. The answer is 94. What is my number?
  16. 16.The length of a rectangle is 14 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 5 and then take away 26. The answer is 44. What is my number?
  18. 18.Solve for x: 4(x + 6) = 3x + 29. What is x?
  19. 19.Solve for x: 3(x + 4) = x + 42. What is x?
  20. 20.A pen costs ₹14 more than a pencil. 2 pens and 7 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹3 more than a pencil. 2 pens and 7 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  22. 22.Solve for x: 7(x + 3) = x + 39. What is x?
  23. 23.Manav has 20 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  24. 24.Meera has 29 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 15 m more than its breadth. Its perimeter is 146 m. What is its breadth (in m)?
  26. 26.Rohan has 22 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  27. 27.4 × ? + 21 = 89
  28. 28.Solve for x: 4(x + 1) = x + 22. What is x?
  29. 29.Diya has 28 coins, all ₹5 and ₹2 coins, worth ₹125 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹3 more than a pencil. 4 pens and 6 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹9 more than a pencil. 5 pens and 8 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  32. 32.Solve for x: 3(x + 1) = 2x + 21. What is x?
  33. 33.2 × ? + 20 = 62
  34. 34.The length of a rectangle is 8 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  35. 35.5 × ? − 18 = 52
  36. 36.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 5 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  38. 38.Ananya has 23 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  39. 39.A pen costs ₹9 more than a pencil. 2 pens and 3 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹3 more than a pencil. 3 pens and 2 pencils cost ₹24 in all. What does one pencil cost (in ₹)?

Answer key

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

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