Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 491 · 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. 1.5 × ? + 3 = 63
2. 2.A pen costs ₹11 more than a pencil. 2 pens and 5 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
3. 3.Solve for x: 3(x + 9) = x + 53. What is x?
4. 4.The length of a rectangle is 7 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
5. 5.The length of a rectangle is 15 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
6. 6.A pen costs ₹12 more than a pencil. 5 pens and 5 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
7. 7.I think of a number, multiply it by 2 and then add 1. The answer is 49. What is my number?
8. 8.A pen costs ₹15 more than a pencil. 4 pens and 4 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
9. 9.2 × ? − 1 = 11
10. 10.9 × ? − 8 = 190
11. 11.I think of a number, multiply it by 7 and then take away 24. The answer is 151. What is my number?
12. 12.I think of a number, multiply it by 9 and then add 3. The answer is 165. What is my number?
13. 13.Nisha has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
14. 14.I think of a number, multiply it by 9 and then add 8. The answer is 278. What is my number?
15. 15.Meera has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
16. 16.Vivaan has 27 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
17. 17.Solve for x: 8(x + 3) = 3x + 104. What is x?
18. 18.Vivaan has 27 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
19. 19.The length of a rectangle is 15 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
20. 20.The length of a rectangle is 14 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
21. 21.Solve for x: 6(x + 5) = x + 55. What is x?
22. 22.A pen costs ₹7 more than a pencil. 3 pens and 5 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
23. 23.7 × ? − 26 = 93
24. 24.A pen costs ₹4 more than a pencil. 3 pens and 5 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
25. 25.The length of a rectangle is 3 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
26. 26.A pen costs ₹15 more than a pencil. 3 pens and 7 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
27. 27.The length of a rectangle is 10 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
28. 28.A pen costs ₹10 more than a pencil. 2 pens and 5 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
29. 29.I think of a number, multiply it by 3 and then take away 31. The answer is 8. What is my number?
30. 30.Solve for x: 6(x + 7) = 5x + 45. What is x?
31. 31.The length of a rectangle is 5 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
32. 32.Solve for x: 6(x + 1) = x + 81. What is x?
33. 33.A pen costs ₹10 more than a pencil. 4 pens and 3 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
34. 34.Ishaan has 18 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
35. 35.Zoya has 29 coins, all ₹5 and ₹2 coins, worth ₹142 in all. How many ₹5 coins are there?
36. 36.6 × ? − 3 = 57
37. 37.Solve for x: 7(x + 8) = 2x + 146. What is x?
38. 38.Solve for x: 5(x + 4) = x + 28. What is x?
39. 39.4 × ? + 13 = 73
40. 40.The length of a rectangle is 7 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?

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