Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 982 · 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.I think of a number, multiply it by 6 and then add 4. The answer is 70. What is my number?
2. 2.The length of a rectangle is 7 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
3. 3.A pen costs ₹2 more than a pencil. 4 pens and 8 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
4. 4.Solve for x: 6(x + 8) = x + 93. What is x?
5. 5.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
6. 6.The length of a rectangle is 2 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
7. 7.I think of a number, multiply it by 5 and then take away 36. The answer is 114. What is my number?
8. 8.Solve for x: 9(x + 1) = 8x + 28. What is x?
9. 9.Solve for x: 6(x + 1) = x + 81. What is x?
10. 10.The length of a rectangle is 4 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
11. 11.The length of a rectangle is 15 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
12. 12.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹21 in all. What does one pencil cost (in ₹)?
13. 13.Solve for x: 5(x + 9) = 4x + 63. What is x?
14. 14.I think of a number, multiply it by 5 and then add 37. The answer is 132. What is my number?
15. 15.I think of a number, multiply it by 4 and then take away 28. The answer is 64. What is my number?
16. 16.I think of a number, multiply it by 8 and then add 15. The answer is 55. What is my number?
17. 17.A pen costs ₹14 more than a pencil. 2 pens and 3 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
18. 18.2 × ? + 19 = 27
19. 19.Solve for x: 6(x + 4) = 2x + 40. What is x?
20. 20.Solve for x: 4(x + 3) = 2x + 44. What is x?
21. 21.12 × ? + 15 = 171
22. 22.A pen costs ₹3 more than a pencil. 5 pens and 3 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
23. 23.3 × ? − 15 = 27
24. 24.The length of a rectangle is 9 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
25. 25.A pen costs ₹5 more than a pencil. 4 pens and 8 pencils cost ₹248 in all. What does one pencil cost (in ₹)?
26. 26.Solve for x: 4(x + 3) = 3x + 28. What is x?
27. 27.A pen costs ₹3 more than a pencil. 4 pens and 3 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
28. 28.A pen costs ₹11 more than a pencil. 3 pens and 3 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
29. 29.Solve for x: 6(x + 9) = 5x + 60. What is x?
30. 30.The length of a rectangle is 8 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
31. 31.A pen costs ₹10 more than a pencil. 2 pens and 3 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
32. 32.Isha has 23 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
33. 33.The length of a rectangle is 3 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
34. 34.12 × ? − 19 = 245
35. 35.A pen costs ₹10 more than a pencil. 2 pens and 2 pencils cost ₹32 in all. What does one pencil cost (in ₹)?
36. 36.A pen costs ₹8 more than a pencil. 2 pens and 6 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
37. 37.2 × ? + 3 = 11
38. 38.9 × ? + 8 = 53
39. 39.Solve for x: 4(x + 7) = 3x + 38. What is x?
40. 40.I think of a number, multiply it by 9 and then take away 37. The answer is 8. What is my number?

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