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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 54 · 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 4 and then take away 5. The answer is 15. What is my number?
  2. 2.The length of a rectangle is 15 m more than its breadth. Its perimeter is 150 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 12 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 5 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 5 and then add 12. The answer is 57. What is my number?
  6. 6.A pen costs ₹10 more than a pencil. 4 pens and 5 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  7. 7.11 × ? + 7 = 51
  8. 8.3 × ? + 23 = 38
  9. 9.Manav has 26 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  10. 10.9 × ? + 8 = 233
  11. 11.7 × ? − 27 = 29
  12. 12.A pen costs ₹12 more than a pencil. 3 pens and 2 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 4(x + 9) = 3x + 52. What is x?
  14. 14.The length of a rectangle is 7 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  15. 15.A pen costs ₹14 more than a pencil. 2 pens and 2 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 6(x + 1) = 5x + 9. What is x?
  17. 17.Solve for x: 7(x + 3) = 3x + 29. What is x?
  18. 18.A pen costs ₹15 more than a pencil. 2 pens and 8 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  19. 19.The length of a rectangle is 13 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  20. 20.4 × ? − 3 = 65
  21. 21.I think of a number, multiply it by 2 and then add 36. The answer is 94. What is my number?
  22. 22.I think of a number, multiply it by 2 and then add 3. The answer is 9. What is my number?
  23. 23.A pen costs ₹6 more than a pencil. 6 pens and 7 pencils cost ₹283 in all. What does one pencil cost (in ₹)?
  24. 24.9 × ? + 10 = 100
  25. 25.Solve for x: 5(x + 9) = x + 109. What is x?
  26. 26.A pen costs ₹14 more than a pencil. 3 pens and 2 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 12 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  28. 28.The length of a rectangle is 10 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  29. 29.I think of a number, multiply it by 4 and then add 20. The answer is 72. What is my number?
  30. 30.Solve for x: 7(x + 7) = 4x + 73. What is x?
  31. 31.7 × ? − 28 = 35
  32. 32.The length of a rectangle is 12 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  34. 34.The length of a rectangle is 2 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  35. 35.A pen costs ₹2 more than a pencil. 4 pens and 5 pencils cost ₹161 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹3 more than a pencil. 3 pens and 5 pencils cost ₹169 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 7 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 8 and then add 31. The answer is 263. What is my number?
  39. 39.Tara has 14 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹2 more than a pencil. 5 pens and 7 pencils cost ₹178 in all. What does one pencil cost (in ₹)?

Answer key

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

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