Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 888 · 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.The length of a rectangle is 8 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
2. 2.The length of a rectangle is 3 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
3. 3.The length of a rectangle is 10 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
4. 4.Solve for x: 5(x + 6) = 3x + 40. What is x?
5. 5.3 × ? − 14 = 46
6. 6.Solve for x: 6(x + 2) = x + 97. What is x?
7. 7.A pen costs ₹12 more than a pencil. 6 pens and 6 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
8. 8.A pen costs ₹9 more than a pencil. 3 pens and 6 pencils cost ₹198 in all. What does one pencil cost (in ₹)?
9. 9.Aditya has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
10. 10.A pen costs ₹14 more than a pencil. 6 pens and 5 pencils cost ₹205 in all. What does one pencil cost (in ₹)?
11. 11.Solve for x: 4(x + 3) = x + 69. What is x?
12. 12.Solve for x: 8(x + 6) = 2x + 54. What is x?
13. 13.I think of a number, multiply it by 4 and then take away 24. The answer is 28. What is my number?
14. 14.Solve for x: 7(x + 1) = 4x + 49. What is x?
15. 15.A pen costs ₹13 more than a pencil. 3 pens and 3 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
16. 16.7 × ? − 15 = 69
17. 17.4 × ? + 27 = 83
18. 18.I think of a number, multiply it by 6 and then add 8. The answer is 26. What is my number?
19. 19.I think of a number, multiply it by 9 and then take away 36. The answer is 225. What is my number?
20. 20.I think of a number, multiply it by 4 and then add 7. The answer is 71. What is my number?
21. 21.I think of a number, multiply it by 5 and then add 11. The answer is 76. What is my number?
22. 22.Solve for x: 4(x + 3) = 3x + 30. What is x?
23. 23.Solve for x: 3(x + 8) = x + 32. What is x?
24. 24.10 × ? − 25 = 75
25. 25.Solve for x: 8(x + 8) = 6x + 100. What is x?
26. 26.Solve for x: 7(x + 6) = 5x + 78. What is x?
27. 27.I think of a number, multiply it by 2 and then take away 20. The answer is 26. What is my number?
28. 28.The length of a rectangle is 13 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
29. 29.I think of a number, multiply it by 6 and then add 14. The answer is 134. What is my number?
30. 30.I think of a number, multiply it by 3 and then add 24. The answer is 57. What is my number?
31. 31.Solve for x: 4(x + 6) = x + 81. What is x?
32. 32.I think of a number, multiply it by 6 and then take away 7. The answer is 65. What is my number?
33. 33.Solve for x: 7(x + 3) = x + 141. What is x?
34. 34.5 × ? − 28 = 32
35. 35.A pen costs ₹10 more than a pencil. 3 pens and 6 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
36. 36.The length of a rectangle is 14 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
37. 37.Rahul has 22 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?
38. 38.Vivaan has 28 coins, all ₹5 and ₹2 coins, worth ₹110 in all. How many ₹5 coins are there?
39. 39.Manav has 22 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
40. 40.Kabir has 25 coins, all ₹5 and ₹2 coins, worth ₹113 in all. How many ₹5 coins are there?

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