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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 947 · 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 9 and then take away 8. The answer is 73. What is my number?
  2. 2.A pen costs ₹15 more than a pencil. 3 pens and 7 pencils cost ₹145 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 6 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 13 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  5. 5.Solve for x: 7(x + 5) = 4x + 86. What is x?
  6. 6.I think of a number, multiply it by 3 and then add 10. The answer is 64. What is my number?
  7. 7.I think of a number, multiply it by 7 and then take away 34. The answer is 78. What is my number?
  8. 8.4 × ? − 8 = 80
  9. 9.Vivaan has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  10. 10.The length of a rectangle is 5 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  11. 11.Nisha has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹15 more than a pencil. 5 pens and 5 pencils cost ₹225 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 9(x + 4) = 4x + 121. What is x?
  14. 14.9 × ? + 15 = 132
  15. 15.The length of a rectangle is 12 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 9 and then add 14. The answer is 185. What is my number?
  17. 17.Aditya has 24 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹12 more than a pencil. 4 pens and 3 pencils cost ₹153 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹14 more than a pencil. 2 pens and 2 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  20. 20.11 × ? − 11 = 88
  21. 21.A pen costs ₹3 more than a pencil. 6 pens and 4 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  22. 22.10 × ? + 14 = 204
  23. 23.The length of a rectangle is 12 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  24. 24.Solve for x: 9(x + 7) = 3x + 171. What is x?
  25. 25.Rohan has 17 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 9 and then take away 35. The answer is 217. What is my number?
  27. 27.I think of a number, multiply it by 9 and then add 6. The answer is 96. What is my number?
  28. 28.A pen costs ₹13 more than a pencil. 6 pens and 6 pencils cost ₹318 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 5 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  30. 30.4 × ? − 28 = 72
  31. 31.A pen costs ₹15 more than a pencil. 2 pens and 3 pencils cost ₹125 in all. What does one pencil cost (in ₹)?
  32. 32.Manav has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  33. 33.Solve for x: 5(x + 2) = x + 90. What is x?
  34. 34.Solve for x: 4(x + 6) = x + 36. What is x?
  35. 35.10 × ? + 6 = 86
  36. 36.5 × ? + 10 = 50
  37. 37.8 × ? − 5 = 147
  38. 38.I think of a number, multiply it by 9 and then take away 39. The answer is 132. What is my number?
  39. 39.A pen costs ₹7 more than a pencil. 5 pens and 6 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 8 and then add 30. The answer is 110. What is my number?

Answer key

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

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