Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 330 · 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 + 2) = 6x + 45. What is x?
2. 2.A pen costs ₹5 more than a pencil. 4 pens and 2 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
3. 3.9 × ? + 6 = 96
4. 4.I think of a number, multiply it by 2 and then add 38. The answer is 42. What is my number?
5. 5.Solve for x: 4(x + 4) = x + 28. What is x?
6. 6.Solve for x: 8(x + 9) = x + 100. What is x?
7. 7.Solve for x: 4(x + 1) = x + 55. What is x?
8. 8.Aarav has 16 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
9. 9.Saanvi has 20 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
10. 10.I think of a number, multiply it by 5 and then take away 14. The answer is 21. What is my number?
11. 11.I think of a number, multiply it by 5 and then add 14. The answer is 49. What is my number?
12. 12.4 × ? + 3 = 103
13. 13.I think of a number, multiply it by 4 and then add 8. The answer is 20. What is my number?
14. 14.A pen costs ₹4 more than a pencil. 6 pens and 8 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
15. 15.I think of a number, multiply it by 5 and then add 25. The answer is 115. What is my number?
16. 16.Solve for x: 7(x + 2) = 4x + 23. What is x?
17. 17.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
18. 18.12 × ? − 27 = 273
19. 19.Solve for x: 7(x + 9) = 6x + 82. What is x?
20. 20.Tara has 19 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
21. 21.Isha has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
22. 22.I think of a number, multiply it by 2 and then add 32. The answer is 46. What is my number?
23. 23.Karan has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
24. 24.Ananya has 22 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
25. 25.The length of a rectangle is 3 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
26. 26.10 × ? + 21 = 171
27. 27.A pen costs ₹11 more than a pencil. 4 pens and 5 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
28. 28.The length of a rectangle is 5 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
29. 29.Solve for x: 3(x + 2) = 2x + 18. What is x?
30. 30.Solve for x: 3(x + 8) = x + 60. What is x?
31. 31.I think of a number, multiply it by 4 and then add 14. The answer is 122. What is my number?
32. 32.The length of a rectangle is 6 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
33. 33.5 × ? + 27 = 112
34. 34.A pen costs ₹14 more than a pencil. 4 pens and 5 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
35. 35.A pen costs ₹2 more than a pencil. 6 pens and 7 pencils cost ₹259 in all. What does one pencil cost (in ₹)?
36. 36.Nisha has 21 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
37. 37.Aditya has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
38. 38.I think of a number, multiply it by 7 and then add 18. The answer is 88. What is my number?
39. 39.Solve for x: 6(x + 2) = 3x + 21. What is x?
40. 40.A pen costs ₹8 more than a pencil. 5 pens and 4 pencils cost ₹184 in all. What does one pencil cost (in ₹)?

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