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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 21 · 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 6 and then take away 16. The answer is 134. What is my number?
  2. 2.The length of a rectangle is 10 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  3. 3.A pen costs ₹15 more than a pencil. 2 pens and 5 pencils cost ₹163 in all. What does one pencil cost (in ₹)?
  4. 4.Kavya has 22 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  5. 5.Pooja has 18 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  6. 6.The length of a rectangle is 8 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 7 and then take away 14. The answer is 140. What is my number?
  8. 8.Nisha has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  9. 9.A pen costs ₹9 more than a pencil. 2 pens and 3 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 8 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  11. 11.Rohan has 20 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  12. 12.Manav has 20 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  13. 13.I think of a number, multiply it by 3 and then take away 38. The answer is 31. What is my number?
  14. 14.I think of a number, multiply it by 6 and then take away 2. The answer is 148. What is my number?
  15. 15.4 × ? + 29 = 109
  16. 16.Solve for x: 8(x + 2) = 5x + 61. What is x?
  17. 17.I think of a number, multiply it by 2 and then add 26. The answer is 78. What is my number?
  18. 18.I think of a number, multiply it by 4 and then take away 38. The answer is 2. What is my number?
  19. 19.Solve for x: 6(x + 8) = x + 73. What is x?
  20. 20.I think of a number, multiply it by 3 and then take away 27. The answer is 12. What is my number?
  21. 21.A pen costs ₹10 more than a pencil. 5 pens and 6 pencils cost ₹215 in all. What does one pencil cost (in ₹)?
  22. 22.Dev has 19 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹11 more than a pencil. 4 pens and 7 pencils cost ₹187 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 4 and then add 34. The answer is 102. What is my number?
  25. 25.2 × ? + 24 = 50
  26. 26.Solve for x: 8(x + 3) = 2x + 36. What is x?
  27. 27.Solve for x: 8(x + 5) = 5x + 88. What is x?
  28. 28.Solve for x: 8(x + 3) = 2x + 120. What is x?
  29. 29.The length of a rectangle is 8 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  30. 30.Aarav has 17 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  31. 31.Solve for x: 7(x + 9) = 2x + 163. What is x?
  32. 32.I think of a number, multiply it by 3 and then take away 22. The answer is 44. What is my number?
  33. 33.Solve for x: 5(x + 1) = 3x + 15. What is x?
  34. 34.A pen costs ₹11 more than a pencil. 4 pens and 5 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  35. 35.The length of a rectangle is 11 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  36. 36.Solve for x: 3(x + 1) = x + 9. What is x?
  37. 37.The length of a rectangle is 5 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  38. 38.The length of a rectangle is 5 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  39. 39.Sneha has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 2 and then add 1. The answer is 37. What is my number?

Answer key

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

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