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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 23 · 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 3 and then add 32. The answer is 44. What is my number?
  2. 2.Solve for x: 5(x + 5) = 2x + 28. What is x?
  3. 3.Solve for x: 8(x + 6) = 5x + 78. What is x?
  4. 4.3 × ? + 24 = 33
  5. 5.9 × ? + 15 = 222
  6. 6.5 × ? + 29 = 104
  7. 7.The length of a rectangle is 3 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  8. 8.A pen costs ₹8 more than a pencil. 5 pens and 8 pencils cost ₹248 in all. What does one pencil cost (in ₹)?
  9. 9.The length of a rectangle is 15 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 3 and then add 26. The answer is 38. What is my number?
  11. 11.The length of a rectangle is 2 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  12. 12.7 × ? + 29 = 64
  13. 13.The length of a rectangle is 5 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  14. 14.The length of a rectangle is 3 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  15. 15.6 × ? + 20 = 98
  16. 16.I think of a number, multiply it by 8 and then add 4. The answer is 148. What is my number?
  17. 17.I think of a number, multiply it by 2 and then add 31. The answer is 81. What is my number?
  18. 18.The length of a rectangle is 11 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  19. 19.A pen costs ₹12 more than a pencil. 6 pens and 6 pencils cost ₹288 in all. What does one pencil cost (in ₹)?
  20. 20.Solve for x: 8(x + 8) = 6x + 84. What is x?
  21. 21.A pen costs ₹14 more than a pencil. 5 pens and 6 pencils cost ₹290 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹12 more than a pencil. 6 pens and 4 pencils cost ₹202 in all. What does one pencil cost (in ₹)?
  23. 23.2 × ? − 1 = 43
  24. 24.A pen costs ₹2 more than a pencil. 3 pens and 2 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 4(x + 4) = x + 28. What is x?
  26. 26.I think of a number, multiply it by 6 and then take away 3. The answer is 129. What is my number?
  27. 27.A pen costs ₹3 more than a pencil. 2 pens and 7 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  28. 28.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  29. 29.10 × ? + 3 = 223
  30. 30.I think of a number, multiply it by 9 and then add 9. The answer is 27. What is my number?
  31. 31.2 × ? + 18 = 26
  32. 32.I think of a number, multiply it by 2 and then take away 31. The answer is 9. What is my number?
  33. 33.Aarav has 27 coins, all ₹5 and ₹2 coins, worth ₹126 in all. How many ₹5 coins are there?
  34. 34.Solve for x: 3(x + 5) = 2x + 26. What is x?
  35. 35.Isha has 29 coins, all ₹5 and ₹2 coins, worth ₹133 in all. How many ₹5 coins are there?
  36. 36.4 × ? + 28 = 80
  37. 37.Solve for x: 5(x + 2) = 4x + 22. What is x?
  38. 38.The length of a rectangle is 13 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  39. 39.The length of a rectangle is 9 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  40. 40.Karan has 17 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?

Answer key

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

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