Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 84 · 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.A pen costs ₹10 more than a pencil. 6 pens and 2 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
2. 2.A pen costs ₹15 more than a pencil. 3 pens and 8 pencils cost ₹155 in all. What does one pencil cost (in ₹)?
3. 3.12 × ? − 20 = 112
4. 4.The length of a rectangle is 5 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
5. 5.A pen costs ₹10 more than a pencil. 3 pens and 8 pencils cost ₹217 in all. What does one pencil cost (in ₹)?
6. 6.The length of a rectangle is 12 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
7. 7.8 × ? + 8 = 96
8. 8.A pen costs ₹8 more than a pencil. 4 pens and 7 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
9. 9.A pen costs ₹3 more than a pencil. 5 pens and 2 pencils cost ₹155 in all. What does one pencil cost (in ₹)?
10. 10.3 × ? + 22 = 40
11. 11.Solve for x: 4(x + 2) = 2x + 26. What is x?
12. 12.The length of a rectangle is 9 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
13. 13.I think of a number, multiply it by 4 and then take away 6. The answer is 86. What is my number?
14. 14.I think of a number, multiply it by 9 and then add 12. The answer is 129. What is my number?
15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
16. 16.Ishaan has 22 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
17. 17.A pen costs ₹6 more than a pencil. 4 pens and 4 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
18. 18.3 × ? + 28 = 79
19. 19.I think of a number, multiply it by 2 and then add 16. The answer is 42. What is my number?
20. 20.The length of a rectangle is 7 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
21. 21.I think of a number, multiply it by 9 and then add 1. The answer is 82. What is my number?
22. 22.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹53 in all. What does one pencil cost (in ₹)?
23. 23.Solve for x: 3(x + 1) = x + 21. What is x?
24. 24.Rohan has 27 coins, all ₹5 and ₹2 coins, worth ₹120 in all. How many ₹5 coins are there?
25. 25.A pen costs ₹4 more than a pencil. 5 pens and 4 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
26. 26.The length of a rectangle is 15 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
27. 27.Solve for x: 3(x + 6) = 2x + 35. What is x?
28. 28.4 × ? − 15 = 77
29. 29.Solve for x: 6(x + 1) = x + 81. What is x?
30. 30.A pen costs ₹13 more than a pencil. 3 pens and 2 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
31. 31.5 × ? + 9 = 59
32. 32.Tara has 17 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
33. 33.Solve for x: 8(x + 6) = x + 174. What is x?
34. 34.The length of a rectangle is 4 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
35. 35.A pen costs ₹15 more than a pencil. 6 pens and 3 pencils cost ₹198 in all. What does one pencil cost (in ₹)?
36. 36.I think of a number, multiply it by 6 and then add 10. The answer is 34. What is my number?
37. 37.A pen costs ₹15 more than a pencil. 2 pens and 6 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
38. 38.Solve for x: 3(x + 7) = x + 49. What is x?
39. 39.7 × ? − 1 = 153
40. 40.The length of a rectangle is 15 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?

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