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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 159 · 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.The length of a rectangle is 14 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 5 and then add 9. The answer is 109. What is my number?
  3. 3.I think of a number, multiply it by 7 and then add 2. The answer is 93. What is my number?
  4. 4.12 × ? + 6 = 222
  5. 5.I think of a number, multiply it by 9 and then add 1. The answer is 217. What is my number?
  6. 6.The length of a rectangle is 2 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  7. 7.Solve for x: 5(x + 4) = x + 48. What is x?
  8. 8.The length of a rectangle is 3 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  9. 9.I think of a number, multiply it by 9 and then add 5. The answer is 248. What is my number?
  10. 10.Tara has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  11. 11.10 × ? − 28 = 172
  12. 12.Kabir has 27 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  13. 13.The length of a rectangle is 12 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 4 and then take away 12. The answer is 60. What is my number?
  15. 15.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  16. 16.Sneha has 17 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  17. 17.Karan has 15 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 3 and then add 37. The answer is 82. What is my number?
  19. 19.Pooja has 25 coins, all ₹5 and ₹2 coins, worth ₹110 in all. How many ₹5 coins are there?
  20. 20.2 × ? − 26 = 18
  21. 21.10 × ? − 8 = 32
  22. 22.A pen costs ₹14 more than a pencil. 3 pens and 8 pencils cost ₹185 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 9 and then add 31. The answer is 94. What is my number?
  24. 24.I think of a number, multiply it by 7 and then add 2. The answer is 205. What is my number?
  25. 25.Solve for x: 8(x + 3) = 2x + 114. What is x?
  26. 26.7 × ? + 18 = 32
  27. 27.3 × ? + 1 = 61
  28. 28.The length of a rectangle is 4 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  29. 29.2 × ? + 16 = 32
  30. 30.A pen costs ₹12 more than a pencil. 2 pens and 4 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  31. 31.Farhan has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 4 and then add 9. The answer is 45. What is my number?
  33. 33.A pen costs ₹14 more than a pencil. 6 pens and 2 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 9 and then take away 14. The answer is 103. What is my number?
  35. 35.Solve for x: 3(x + 5) = x + 41. What is x?
  36. 36.I think of a number, multiply it by 4 and then take away 24. The answer is 40. What is my number?
  37. 37.I think of a number, multiply it by 6 and then take away 26. The answer is 136. What is my number?
  38. 38.I think of a number, multiply it by 2 and then take away 8. The answer is 38. What is my number?
  39. 39.12 × ? − 24 = 216
  40. 40.I think of a number, multiply it by 8 and then add 28. The answer is 164. What is my number?

Answer key

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

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