Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 832 · 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 12 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
2. 2.A pen costs ₹12 more than a pencil. 3 pens and 7 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
3. 3.I think of a number, multiply it by 8 and then take away 3. The answer is 69. What is my number?
4. 4.Pooja has 19 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
5. 5.Vivaan has 29 coins, all ₹5 and ₹2 coins, worth ₹133 in all. How many ₹5 coins are there?
6. 6.Solve for x: 8(x + 5) = 3x + 65. What is x?
7. 7.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
8. 8.Sneha has 18 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
9. 9.Rohan has 19 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
10. 10.The length of a rectangle is 4 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
11. 11.Solve for x: 8(x + 6) = 6x + 72. What is x?
12. 12.3 × ? + 19 = 28
13. 13.Solve for x: 3(x + 6) = x + 52. What is x?
14. 14.8 × ? + 5 = 117
15. 15.I think of a number, multiply it by 6 and then add 21. The answer is 75. What is my number?
16. 16.I think of a number, multiply it by 9 and then take away 10. The answer is 152. What is my number?
17. 17.Ananya has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
18. 18.I think of a number, multiply it by 3 and then take away 19. The answer is 35. What is my number?
19. 19.I think of a number, multiply it by 7 and then add 4. The answer is 32. What is my number?
20. 20.Solve for x: 3(x + 3) = x + 27. What is x?
21. 21.Solve for x: 3(x + 2) = 2x + 19. What is x?
22. 22.The length of a rectangle is 9 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
23. 23.10 × ? − 4 = 76
24. 24.A pen costs ₹4 more than a pencil. 5 pens and 7 pencils cost ₹236 in all. What does one pencil cost (in ₹)?
25. 25.3 × ? + 29 = 83
26. 26.I think of a number, multiply it by 4 and then add 11. The answer is 23. What is my number?
27. 27.A pen costs ₹15 more than a pencil. 6 pens and 7 pencils cost ₹311 in all. What does one pencil cost (in ₹)?
28. 28.I think of a number, multiply it by 2 and then take away 8. The answer is 34. What is my number?
29. 29.2 × ? − 9 = 39
30. 30.7 × ? + 18 = 144
31. 31.A pen costs ₹7 more than a pencil. 2 pens and 5 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
32. 32.Diya has 18 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
33. 33.A pen costs ₹6 more than a pencil. 5 pens and 7 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
34. 34.I think of a number, multiply it by 5 and then take away 21. The answer is 64. What is my number?
35. 35.I think of a number, multiply it by 4 and then add 33. The answer is 49. What is my number?
36. 36.Meera has 30 coins, all ₹5 and ₹2 coins, worth ₹138 in all. How many ₹5 coins are there?
37. 37.Meera has 26 coins, all ₹5 and ₹2 coins, worth ₹115 in all. How many ₹5 coins are there?
38. 38.A pen costs ₹15 more than a pencil. 5 pens and 8 pencils cost ₹205 in all. What does one pencil cost (in ₹)?
39. 39.The length of a rectangle is 3 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
40. 40.Solve for x: 8(x + 9) = 6x + 94. What is x?

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