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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 537 · 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 4 and then take away 32. The answer is 84. What is my number?
  2. 2.12 × ? − 9 = 159
  3. 3.Manav has 24 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  4. 4.I think of a number, multiply it by 3 and then take away 6. The answer is 21. What is my number?
  5. 5.3 × ? − 6 = 48
  6. 6.I think of a number, multiply it by 9 and then add 7. The answer is 205. What is my number?
  7. 7.I think of a number, multiply it by 4 and then take away 34. The answer is 18. What is my number?
  8. 8.Priya has 28 coins, all ₹5 and ₹2 coins, worth ₹119 in all. How many ₹5 coins are there?
  9. 9.7 × ? + 9 = 114
  10. 10.A pen costs ₹6 more than a pencil. 6 pens and 5 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  11. 11.The length of a rectangle is 8 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  12. 12.Rohan has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  13. 13.Solve for x: 5(x + 2) = 4x + 23. What is x?
  14. 14.Solve for x: 7(x + 2) = x + 104. What is x?
  15. 15.A pen costs ₹7 more than a pencil. 3 pens and 2 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 7(x + 6) = 6x + 56. What is x?
  17. 17.A pen costs ₹11 more than a pencil. 6 pens and 2 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 7 and then add 31. The answer is 143. What is my number?
  19. 19.9 × ? − 14 = 22
  20. 20.A pen costs ₹7 more than a pencil. 5 pens and 3 pencils cost ₹59 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 3 and then add 29. The answer is 98. What is my number?
  22. 22.I think of a number, multiply it by 4 and then take away 14. The answer is 66. What is my number?
  23. 23.3 × ? + 19 = 43
  24. 24.The length of a rectangle is 4 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  25. 25.8 × ? + 25 = 201
  26. 26.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 4 and then add 12. The answer is 36. What is my number?
  28. 28.The length of a rectangle is 13 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  29. 29.A pen costs ₹14 more than a pencil. 5 pens and 2 pencils cost ₹91 in all. What does one pencil cost (in ₹)?
  30. 30.Solve for x: 4(x + 7) = 3x + 40. What is x?
  31. 31.10 × ? + 1 = 111
  32. 32.3 × ? − 26 = 37
  33. 33.I think of a number, multiply it by 2 and then add 3. The answer is 11. What is my number?
  34. 34.Arjun has 27 coins, all ₹5 and ₹2 coins, worth ₹111 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 4 and then take away 11. The answer is 77. What is my number?
  36. 36.11 × ? + 17 = 171
  37. 37.Diya has 16 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 3(x + 1) = 2x + 4. What is x?
  39. 39.Solve for x: 9(x + 3) = x + 67. What is x?
  40. 40.Dev has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?

Answer key

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

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