Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 612 · 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: 4(x + 7) = 3x + 38. What is x?
2. 2.A pen costs ₹5 more than a pencil. 5 pens and 7 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
3. 3.I think of a number, multiply it by 9 and then add 27. The answer is 162. What is my number?
4. 4.I think of a number, multiply it by 8 and then add 4. The answer is 68. What is my number?
5. 5.I think of a number, multiply it by 6 and then take away 6. The answer is 12. What is my number?
6. 6.Solve for x: 8(x + 8) = 5x + 121. What is x?
7. 7.Tara has 23 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
8. 8.A pen costs ₹11 more than a pencil. 6 pens and 8 pencils cost ₹206 in all. What does one pencil cost (in ₹)?
9. 9.I think of a number, multiply it by 6 and then add 24. The answer is 48. What is my number?
10. 10.Solve for x: 7(x + 1) = 2x + 77. What is x?
11. 11.The length of a rectangle is 13 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
12. 12.I think of a number, multiply it by 4 and then take away 13. The answer is 107. What is my number?
13. 13.Solve for x: 7(x + 5) = 4x + 80. What is x?
14. 14.The length of a rectangle is 14 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
15. 15.A pen costs ₹9 more than a pencil. 2 pens and 5 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
16. 16.A pen costs ₹3 more than a pencil. 2 pens and 7 pencils cost ₹33 in all. What does one pencil cost (in ₹)?
17. 17.5 × ? + 28 = 138
18. 18.A pen costs ₹7 more than a pencil. 4 pens and 6 pencils cost ₹208 in all. What does one pencil cost (in ₹)?
19. 19.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹47 in all. What does one pencil cost (in ₹)?
20. 20.I think of a number, multiply it by 8 and then take away 14. The answer is 218. What is my number?
21. 21.Solve for x: 7(x + 7) = 4x + 61. What is x?
22. 22.2 × ? + 8 = 32
23. 23.Arjun has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
24. 24.A pen costs ₹3 more than a pencil. 6 pens and 3 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
25. 25.8 × ? − 28 = 108
26. 26.7 × ? + 2 = 170
27. 27.10 × ? + 24 = 264
28. 28.I think of a number, multiply it by 4 and then take away 2. The answer is 94. What is my number?
29. 29.The length of a rectangle is 2 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
30. 30.Solve for x: 9(x + 2) = 7x + 52. What is x?
31. 31.A pen costs ₹5 more than a pencil. 3 pens and 3 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
32. 32.Solve for x: 6(x + 5) = x + 130. What is x?
33. 33.A pen costs ₹2 more than a pencil. 4 pens and 4 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
34. 34.The length of a rectangle is 10 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
35. 35.Solve for x: 3(x + 2) = x + 44. What is x?
36. 36.The length of a rectangle is 7 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
37. 37.The length of a rectangle is 14 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
38. 38.Solve for x: 3(x + 4) = 2x + 19. What is x?
39. 39.2 × ? + 15 = 23
40. 40.The length of a rectangle is 10 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?

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