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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 502 · 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 3 and then add 37. The answer is 79. What is my number?
  2. 2.I think of a number, multiply it by 9 and then add 36. The answer is 126. What is my number?
  3. 3.Arjun has 21 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  4. 4.I think of a number, multiply it by 9 and then add 17. The answer is 251. What is my number?
  5. 5.The length of a rectangle is 7 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  6. 6.Solve for x: 3(x + 9) = x + 51. What is x?
  7. 7.A pen costs ₹12 more than a pencil. 6 pens and 7 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 8(x + 9) = 3x + 122. What is x?
  9. 9.7 × ? + 9 = 30
  10. 10.Solve for x: 5(x + 9) = 4x + 46. What is x?
  11. 11.A pen costs ₹3 more than a pencil. 6 pens and 6 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹13 more than a pencil. 5 pens and 6 pencils cost ₹208 in all. What does one pencil cost (in ₹)?
  13. 13.The length of a rectangle is 15 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  14. 14.7 × ? − 6 = 43
  15. 15.5 × ? + 23 = 98
  16. 16.I think of a number, multiply it by 8 and then take away 30. The answer is 34. What is my number?
  17. 17.2 × ? − 3 = 3
  18. 18.I think of a number, multiply it by 5 and then take away 23. The answer is 87. What is my number?
  19. 19.Vivaan has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  20. 20.Diya has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  21. 21.Manav has 19 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  22. 22.The length of a rectangle is 11 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  23. 23.3 × ? − 3 = 9
  24. 24.10 × ? − 21 = 119
  25. 25.A pen costs ₹5 more than a pencil. 4 pens and 8 pencils cost ₹260 in all. What does one pencil cost (in ₹)?
  26. 26.The length of a rectangle is 15 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  27. 27.A pen costs ₹9 more than a pencil. 2 pens and 3 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 6 and then add 6. The answer is 126. What is my number?
  29. 29.The length of a rectangle is 9 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  30. 30.I think of a number, multiply it by 4 and then take away 30. The answer is 82. What is my number?
  31. 31.Solve for x: 3(x + 3) = 2x + 21. What is x?
  32. 32.Isha has 23 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 9 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  34. 34.A pen costs ₹9 more than a pencil. 3 pens and 2 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
  35. 35.Zoya has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 5 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  37. 37.Ishaan has 30 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  38. 38.Isha has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  39. 39.Arjun has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  40. 40.Kavya has 25 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?

Answer key

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

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