Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 730 · 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: 6(x + 5) = 3x + 54. What is x?
2. 2.Solve for x: 9(x + 6) = 7x + 92. What is x?
3. 3.I think of a number, multiply it by 7 and then add 30. The answer is 65. What is my number?
4. 4.A pen costs ₹8 more than a pencil. 2 pens and 5 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
5. 5.Solve for x: 4(x + 4) = x + 25. What is x?
6. 6.Rahul has 16 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
7. 7.A pen costs ₹7 more than a pencil. 4 pens and 8 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
8. 8.A pen costs ₹10 more than a pencil. 5 pens and 4 pencils cost ₹203 in all. What does one pencil cost (in ₹)?
9. 9.I think of a number, multiply it by 6 and then add 2. The answer is 62. What is my number?
10. 10.The length of a rectangle is 2 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
11. 11.Arjun has 26 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
12. 12.I think of a number, multiply it by 7 and then add 10. The answer is 45. What is my number?
13. 13.The length of a rectangle is 3 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
14. 14.I think of a number, multiply it by 7 and then add 34. The answer is 62. What is my number?
15. 15.Solve for x: 4(x + 1) = 2x + 30. What is x?
16. 16.The length of a rectangle is 11 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
17. 17.The length of a rectangle is 7 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
18. 18.10 × ? − 29 = 31
19. 19.A pen costs ₹6 more than a pencil. 5 pens and 4 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
20. 20.A pen costs ₹11 more than a pencil. 2 pens and 2 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
21. 21.I think of a number, multiply it by 6 and then take away 18. The answer is 60. What is my number?
22. 22.Solve for x: 5(x + 9) = 3x + 69. What is x?
23. 23.11 × ? + 7 = 139
24. 24.A pen costs ₹7 more than a pencil. 3 pens and 7 pencils cost ₹201 in all. What does one pencil cost (in ₹)?
25. 25.Solve for x: 3(x + 7) = x + 29. What is x?
26. 26.A pen costs ₹9 more than a pencil. 5 pens and 3 pencils cost ₹173 in all. What does one pencil cost (in ₹)?
27. 27.I think of a number, multiply it by 8 and then add 35. The answer is 219. What is my number?
28. 28.Solve for x: 6(x + 4) = x + 104. What is x?
29. 29.A pen costs ₹11 more than a pencil. 6 pens and 2 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
30. 30.Solve for x: 9(x + 8) = 3x + 162. What is x?
31. 31.12 × ? − 22 = 50
32. 32.2 × ? + 26 = 38
33. 33.Solve for x: 7(x + 3) = 3x + 81. What is x?
34. 34.7 × ? − 23 = 26
35. 35.Saanvi has 24 coins, all ₹5 and ₹2 coins, worth ₹114 in all. How many ₹5 coins are there?
36. 36.The length of a rectangle is 3 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
37. 37.A pen costs ₹13 more than a pencil. 2 pens and 3 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
38. 38.I think of a number, multiply it by 2 and then take away 15. The answer is 11. What is my number?
39. 39.A pen costs ₹6 more than a pencil. 4 pens and 8 pencils cost ₹252 in all. What does one pencil cost (in ₹)?
40. 40.Solve for x: 7(x + 8) = x + 74. What is x?

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