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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 381 · 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.A pen costs ₹13 more than a pencil. 4 pens and 6 pencils cost ₹222 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 7(x + 3) = 6x + 25. What is x?
  3. 3.The length of a rectangle is 4 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 9 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 15 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  6. 6.3 × ? − 9 = 63
  7. 7.I think of a number, multiply it by 5 and then add 31. The answer is 76. What is my number?
  8. 8.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  9. 9.Solve for x: 3(x + 8) = x + 26. What is x?
  10. 10.The length of a rectangle is 10 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  11. 11.Solve for x: 8(x + 5) = 2x + 142. What is x?
  12. 12.I think of a number, multiply it by 3 and then take away 5. The answer is 4. What is my number?
  13. 13.I think of a number, multiply it by 3 and then take away 1. The answer is 83. What is my number?
  14. 14.I think of a number, multiply it by 2 and then add 32. The answer is 88. What is my number?
  15. 15.Rahul has 9 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 6 and then add 3. The answer is 21. What is my number?
  17. 17.The length of a rectangle is 3 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 8 and then take away 14. The answer is 210. What is my number?
  19. 19.Solve for x: 5(x + 4) = 3x + 26. What is x?
  20. 20.Karan has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 11 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  22. 22.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 11 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  24. 24.Rahul has 27 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  25. 25.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹15 more than a pencil. 2 pens and 8 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 6(x + 3) = 2x + 30. What is x?
  28. 28.2 × ? + 27 = 51
  29. 29.I think of a number, multiply it by 4 and then take away 1. The answer is 103. What is my number?
  30. 30.Solve for x: 7(x + 3) = 3x + 25. What is x?
  31. 31.I think of a number, multiply it by 9 and then take away 3. The answer is 132. What is my number?
  32. 32.7 × ? + 25 = 46
  33. 33.A pen costs ₹11 more than a pencil. 5 pens and 7 pencils cost ₹223 in all. What does one pencil cost (in ₹)?
  34. 34.4 × ? + 27 = 43
  35. 35.I think of a number, multiply it by 6 and then add 15. The answer is 57. What is my number?
  36. 36.11 × ? + 24 = 57
  37. 37.2 × ? + 11 = 21
  38. 38.I think of a number, multiply it by 6 and then add 8. The answer is 26. What is my number?
  39. 39.The length of a rectangle is 3 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  40. 40.Zoya has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?

Answer key

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

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