Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 47 · 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: 9(x + 5) = 5x + 61. What is x?
2. 2.A pen costs ₹3 more than a pencil. 2 pens and 5 pencils cost ₹55 in all. What does one pencil cost (in ₹)?
3. 3.Solve for x: 4(x + 2) = 3x + 26. What is x?
4. 4.A pen costs ₹11 more than a pencil. 2 pens and 2 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
5. 5.Solve for x: 4(x + 4) = 2x + 46. What is x?
6. 6.Solve for x: 7(x + 1) = 6x + 9. What is x?
7. 7.Solve for x: 5(x + 8) = 2x + 55. What is x?
8. 8.2 × ? − 9 = 31
9. 9.Solve for x: 5(x + 8) = 4x + 46. What is x?
10. 10.The length of a rectangle is 9 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
11. 11.I think of a number, multiply it by 4 and then add 16. The answer is 68. What is my number?
12. 12.I think of a number, multiply it by 6 and then add 16. The answer is 34. What is my number?
13. 13.I think of a number, multiply it by 3 and then add 19. The answer is 37. What is my number?
14. 14.A pen costs ₹8 more than a pencil. 4 pens and 6 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
15. 15.Solve for x: 3(x + 9) = x + 31. What is x?
16. 16.I think of a number, multiply it by 7 and then add 28. The answer is 126. What is my number?
17. 17.I think of a number, multiply it by 8 and then add 6. The answer is 134. What is my number?
18. 18.Ishaan has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
19. 19.The length of a rectangle is 11 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
20. 20.I think of a number, multiply it by 6 and then add 5. The answer is 17. What is my number?
21. 21.2 × ? − 17 = 31
22. 22.The length of a rectangle is 14 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
23. 23.The length of a rectangle is 12 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
24. 24.The length of a rectangle is 9 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
25. 25.Meera has 30 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
26. 26.A pen costs ₹7 more than a pencil. 3 pens and 5 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
27. 27.A pen costs ₹14 more than a pencil. 2 pens and 2 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
28. 28.The length of a rectangle is 4 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
29. 29.A pen costs ₹10 more than a pencil. 5 pens and 4 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
30. 30.I think of a number, multiply it by 9 and then add 20. The answer is 209. What is my number?
31. 31.I think of a number, multiply it by 8 and then take away 17. The answer is 39. What is my number?
32. 32.5 × ? + 28 = 38
33. 33.A pen costs ₹4 more than a pencil. 2 pens and 3 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
34. 34.Solve for x: 9(x + 9) = 8x + 85. What is x?
35. 35.The length of a rectangle is 9 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
36. 36.I think of a number, multiply it by 3 and then add 5. The answer is 86. What is my number?
37. 37.Solve for x: 6(x + 2) = x + 67. What is x?
38. 38.Ananya has 16 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
39. 39.The length of a rectangle is 14 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
40. 40.Solve for x: 8(x + 5) = 5x + 91. What is x?

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