Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 768 · 40 questions

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.

1. 1.Solve for x: 8(x + 5) = x + 47. What is x?
2. 2.I think of a number, multiply it by 6 and then add 40. The answer is 124. What is my number?
3. 3.Solve for x: 8(x + 3) = 6x + 58. What is x?
4. 4.I think of a number, multiply it by 4 and then take away 24. The answer is 4. What is my number?
5. 5.Solve for x: 6(x + 8) = 4x + 86. What is x?
6. 6.A pen costs ₹4 more than a pencil. 3 pens and 3 pencils cost ₹30 in all. What does one pencil cost (in ₹)?
7. 7.Solve for x: 5(x + 3) = 3x + 23. What is x?
8. 8.Solve for x: 4(x + 2) = x + 23. What is x?
9. 9.A pen costs ₹9 more than a pencil. 4 pens and 3 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
10. 10.Solve for x: 4(x + 8) = x + 92. What is x?
11. 11.Saanvi has 30 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
12. 12.I think of a number, multiply it by 3 and then add 17. The answer is 62. What is my number?
13. 13.A pen costs ₹5 more than a pencil. 2 pens and 6 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
14. 14.I think of a number, multiply it by 3 and then add 4. The answer is 73. What is my number?
15. 15.I think of a number, multiply it by 8 and then add 13. The answer is 53. What is my number?
16. 16.A pen costs ₹3 more than a pencil. 4 pens and 7 pencils cost ₹221 in all. What does one pencil cost (in ₹)?
17. 17.4 × ? + 3 = 75
18. 18.The length of a rectangle is 10 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
19. 19.I think of a number, multiply it by 3 and then add 28. The answer is 67. What is my number?
20. 20.Solve for x: 7(x + 4) = 4x + 58. What is x?
21. 21.A pen costs ₹4 more than a pencil. 5 pens and 8 pencils cost ₹254 in all. What does one pencil cost (in ₹)?
22. 22.Solve for x: 6(x + 4) = 3x + 51. What is x?
23. 23.The length of a rectangle is 5 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
24. 24.A pen costs ₹4 more than a pencil. 4 pens and 3 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
25. 25.A pen costs ₹4 more than a pencil. 3 pens and 2 pencils cost ₹32 in all. What does one pencil cost (in ₹)?
26. 26.A pen costs ₹9 more than a pencil. 6 pens and 3 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
27. 27.The length of a rectangle is 12 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
28. 28.12 × ? − 2 = 226
29. 29.3 × ? + 1 = 43
30. 30.I think of a number, multiply it by 3 and then take away 20. The answer is 49. What is my number?
31. 31.The length of a rectangle is 12 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
32. 32.I think of a number, multiply it by 3 and then add 27. The answer is 87. What is my number?
33. 33.Kabir has 27 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
34. 34.A pen costs ₹7 more than a pencil. 3 pens and 7 pencils cost ₹61 in all. What does one pencil cost (in ₹)?
35. 35.A pen costs ₹12 more than a pencil. 5 pens and 8 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
36. 36.Farhan has 25 coins, all ₹5 and ₹2 coins, worth ₹122 in all. How many ₹5 coins are there?
37. 37.Vivaan has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
38. 38.I think of a number, multiply it by 7 and then take away 13. The answer is 148. What is my number?
39. 39.I think of a number, multiply it by 4 and then take away 36. The answer is 76. What is my number?
40. 40.The length of a rectangle is 3 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?

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