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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 298 · 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.Diya has 24 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  2. 2.I think of a number, multiply it by 2 and then add 5. The answer is 31. What is my number?
  3. 3.The length of a rectangle is 13 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  4. 4.Ananya has 17 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  5. 5.The length of a rectangle is 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  6. 6.A pen costs ₹14 more than a pencil. 2 pens and 2 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  7. 7.Dev has 28 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  8. 8.6 × ? − 1 = 131
  9. 9.The length of a rectangle is 13 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 5 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  11. 11.9 × ? + 29 = 254
  12. 12.Solve for x: 8(x + 3) = 7x + 38. What is x?
  13. 13.The length of a rectangle is 5 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  14. 14.The length of a rectangle is 10 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 3 and then add 15. The answer is 42. What is my number?
  16. 16.Rohan has 29 coins, all ₹5 and ₹2 coins, worth ₹130 in all. How many ₹5 coins are there?
  17. 17.Solve for x: 6(x + 6) = 3x + 84. What is x?
  18. 18.A pen costs ₹7 more than a pencil. 2 pens and 3 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 2 and then add 40. The answer is 100. What is my number?
  20. 20.Solve for x: 7(x + 2) = x + 104. What is x?
  21. 21.I think of a number, multiply it by 3 and then take away 24. The answer is 18. What is my number?
  22. 22.I think of a number, multiply it by 4 and then add 16. The answer is 132. What is my number?
  23. 23.Rahul has 21 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 6 and then add 35. The answer is 119. What is my number?
  25. 25.Solve for x: 6(x + 2) = 3x + 69. What is x?
  26. 26.Ishaan has 13 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  27. 27.I think of a number, multiply it by 6 and then add 22. The answer is 196. What is my number?
  28. 28.I think of a number, multiply it by 3 and then take away 27. The answer is 36. What is my number?
  29. 29.I think of a number, multiply it by 3 and then add 37. The answer is 118. What is my number?
  30. 30.8 × ? + 22 = 214
  31. 31.A pen costs ₹13 more than a pencil. 3 pens and 7 pencils cost ₹179 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 9 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  33. 33.Solve for x: 4(x + 6) = 3x + 27. What is x?
  34. 34.A pen costs ₹14 more than a pencil. 6 pens and 6 pencils cost ₹312 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 6 and then add 34. The answer is 64. What is my number?
  36. 36.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹43 in all. What does one pencil cost (in ₹)?
  37. 37.Rohan has 28 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 8(x + 1) = 3x + 68. What is x?
  39. 39.Solve for x: 5(x + 2) = 3x + 46. What is x?
  40. 40.I think of a number, multiply it by 7 and then add 12. The answer is 103. What is my number?

Answer key

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

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