Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 363 · 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 ₹13 more than a pencil. 6 pens and 8 pencils cost ₹232 in all. What does one pencil cost (in ₹)?
2. 2.The length of a rectangle is 12 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
3. 3.Solve for x: 7(x + 5) = 3x + 67. What is x?
4. 4.The length of a rectangle is 12 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
5. 5.I think of a number, multiply it by 2 and then add 36. The answer is 86. What is my number?
6. 6.The length of a rectangle is 15 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
7. 7.The length of a rectangle is 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
8. 8.I think of a number, multiply it by 7 and then take away 18. The answer is 3. What is my number?
9. 9.I think of a number, multiply it by 8 and then add 17. The answer is 257. What is my number?
10. 10.The length of a rectangle is 13 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
11. 11.Solve for x: 6(x + 2) = 5x + 18. What is x?
12. 12.I think of a number, multiply it by 2 and then add 11. The answer is 51. What is my number?
13. 13.I think of a number, multiply it by 9 and then take away 10. The answer is 170. What is my number?
14. 14.The length of a rectangle is 8 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
15. 15.A pen costs ₹9 more than a pencil. 5 pens and 5 pencils cost ₹225 in all. What does one pencil cost (in ₹)?
16. 16.Solve for x: 9(x + 8) = 2x + 128. What is x?
17. 17.Solve for x: 8(x + 4) = 4x + 100. What is x?
18. 18.4 × ? − 5 = 67
19. 19.I think of a number, multiply it by 7 and then take away 10. The answer is 123. What is my number?
20. 20.The length of a rectangle is 10 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
21. 21.Solve for x: 5(x + 9) = x + 117. What is x?
22. 22.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
23. 23.10 × ? + 28 = 168
24. 24.I think of a number, multiply it by 4 and then take away 30. The answer is 62. What is my number?
25. 25.A pen costs ₹5 more than a pencil. 4 pens and 6 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
26. 26.A pen costs ₹13 more than a pencil. 2 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
27. 27.Priya has 20 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
28. 28.I think of a number, multiply it by 4 and then take away 12. The answer is 48. What is my number?
29. 29.I think of a number, multiply it by 7 and then add 38. The answer is 94. What is my number?
30. 30.11 × ? + 9 = 53
31. 31.I think of a number, multiply it by 8 and then add 7. The answer is 119. What is my number?
32. 32.Solve for x: 7(x + 9) = 3x + 83. What is x?
33. 33.Solve for x: 6(x + 9) = x + 59. What is x?
34. 34.Solve for x: 3(x + 4) = 2x + 30. What is x?
35. 35.A pen costs ₹6 more than a pencil. 5 pens and 3 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
36. 36.A pen costs ₹14 more than a pencil. 4 pens and 7 pencils cost ₹177 in all. What does one pencil cost (in ₹)?
37. 37.A pen costs ₹12 more than a pencil. 6 pens and 7 pencils cost ₹267 in all. What does one pencil cost (in ₹)?
38. 38.2 × ? + 27 = 37
39. 39.8 × ? − 29 = 75
40. 40.The length of a rectangle is 7 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?

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