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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 956 · 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 4 and then take away 3. The answer is 109. What is my number?
  2. 2.I think of a number, multiply it by 2 and then add 4. The answer is 14. What is my number?
  3. 3.A pen costs ₹15 more than a pencil. 5 pens and 6 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 5 and then take away 12. The answer is 98. What is my number?
  5. 5.Kavya has 27 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 7 and then add 24. The answer is 178. What is my number?
  7. 7.A pen costs ₹15 more than a pencil. 5 pens and 8 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 6 and then take away 34. The answer is 92. What is my number?
  9. 9.The length of a rectangle is 8 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  10. 10.Tara has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  11. 11.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  12. 12.The length of a rectangle is 9 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  13. 13.Aarav has 28 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 15 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  15. 15.12 × ? + 19 = 67
  16. 16.Solve for x: 7(x + 9) = 6x + 76. What is x?
  17. 17.The length of a rectangle is 12 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  18. 18.3 × ? − 8 = 61
  19. 19.Solve for x: 6(x + 9) = 3x + 96. What is x?
  20. 20.The length of a rectangle is 9 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  21. 21.The length of a rectangle is 6 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  22. 22.4 × ? − 8 = 8
  23. 23.I think of a number, multiply it by 4 and then add 12. The answer is 88. What is my number?
  24. 24.Dev has 30 coins, all ₹5 and ₹2 coins, worth ₹129 in all. How many ₹5 coins are there?
  25. 25.5 × ? − 26 = 89
  26. 26.I think of a number, multiply it by 7 and then add 16. The answer is 170. What is my number?
  27. 27.Manav has 29 coins, all ₹5 and ₹2 coins, worth ₹136 in all. How many ₹5 coins are there?
  28. 28.I think of a number, multiply it by 3 and then add 27. The answer is 36. What is my number?
  29. 29.Kabir has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  30. 30.I think of a number, multiply it by 4 and then add 34. The answer is 126. What is my number?
  31. 31.Solve for x: 8(x + 8) = 7x + 73. What is x?
  32. 32.I think of a number, multiply it by 8 and then add 9. The answer is 41. What is my number?
  33. 33.Rohan has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  34. 34.Solve for x: 5(x + 9) = 4x + 58. What is x?
  35. 35.I think of a number, multiply it by 9 and then add 14. The answer is 113. What is my number?
  36. 36.Solve for x: 3(x + 2) = 2x + 18. What is x?
  37. 37.Saanvi has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  38. 38.Rohan has 18 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  39. 39.Solve for x: 7(x + 2) = 2x + 59. What is x?
  40. 40.Ishaan has 22 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?

Answer key

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

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