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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 475 · 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 5 and then take away 40. The answer is 35. What is my number?
  2. 2.I think of a number, multiply it by 4 and then take away 25. The answer is 79. What is my number?
  3. 3.7 × ? − 18 = 73
  4. 4.I think of a number, multiply it by 6 and then add 18. The answer is 30. What is my number?
  5. 5.I think of a number, multiply it by 9 and then add 8. The answer is 143. What is my number?
  6. 6.Zoya has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  7. 7.I think of a number, multiply it by 3 and then add 14. The answer is 59. What is my number?
  8. 8.Diya has 22 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  9. 9.7 × ? + 25 = 165
  10. 10.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹6 more than a pencil. 6 pens and 8 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 2 and then add 36. The answer is 88. What is my number?
  13. 13.Saanvi has 18 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 4 and then add 3. The answer is 43. What is my number?
  15. 15.The length of a rectangle is 4 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  16. 16.3 × ? − 20 = 22
  17. 17.Solve for x: 7(x + 4) = 6x + 42. What is x?
  18. 18.Ananya has 28 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  19. 19.Solve for x: 3(x + 9) = x + 35. What is x?
  20. 20.The length of a rectangle is 2 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  21. 21.Vivaan has 13 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 5 and then take away 14. The answer is 121. What is my number?
  23. 23.12 × ? + 17 = 233
  24. 24.A pen costs ₹3 more than a pencil. 5 pens and 2 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  25. 25.Nisha has 21 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 7 and then add 8. The answer is 197. What is my number?
  27. 27.11 × ? + 7 = 139
  28. 28.Zoya has 14 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  29. 29.Pooja has 25 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  30. 30.5 × ? − 7 = 23
  31. 31.The length of a rectangle is 14 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  32. 32.Solve for x: 9(x + 4) = 5x + 96. What is x?
  33. 33.5 × ? − 16 = 89
  34. 34.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹5 more than a pencil. 4 pens and 3 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹14 more than a pencil. 3 pens and 6 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  37. 37.Zoya has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  38. 38.The length of a rectangle is 6 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  39. 39.4 × ? − 9 = 11
  40. 40.The length of a rectangle is 13 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?

Answer key

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

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