Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 943 · 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 13 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
2. 2.I think of a number, multiply it by 9 and then take away 8. The answer is 100. What is my number?
3. 3.A pen costs ₹11 more than a pencil. 4 pens and 6 pencils cost ₹234 in all. What does one pencil cost (in ₹)?
4. 4.Pooja has 17 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
5. 5.Solve for x: 6(x + 5) = 3x + 51. What is x?
6. 6.Solve for x: 9(x + 5) = 8x + 57. What is x?
7. 7.I think of a number, multiply it by 2 and then take away 2. The answer is 4. What is my number?
8. 8.Solve for x: 4(x + 3) = 2x + 14. What is x?
9. 9.11 × ? + 20 = 108
10. 10.8 × ? − 4 = 148
11. 11.Solve for x: 3(x + 7) = x + 31. What is x?
12. 12.5 × ? + 8 = 28
13. 13.Diya has 27 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
14. 14.Solve for x: 4(x + 3) = x + 63. What is x?
15. 15.A pen costs ₹15 more than a pencil. 3 pens and 3 pencils cost ₹153 in all. What does one pencil cost (in ₹)?
16. 16.I think of a number, multiply it by 6 and then add 11. The answer is 65. What is my number?
17. 17.I think of a number, multiply it by 9 and then take away 19. The answer is 251. What is my number?
18. 18.A pen costs ₹14 more than a pencil. 4 pens and 2 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
19. 19.A pen costs ₹5 more than a pencil. 4 pens and 4 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
20. 20.Solve for x: 9(x + 6) = 7x + 80. What is x?
21. 21.Kavya has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
22. 22.I think of a number, multiply it by 6 and then add 18. The answer is 174. What is my number?
23. 23.Solve for x: 4(x + 5) = 3x + 26. What is x?
24. 24.12 × ? − 13 = 287
25. 25.Saanvi has 22 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
26. 26.Kabir has 20 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
27. 27.I think of a number, multiply it by 3 and then add 39. The answer is 81. What is my number?
28. 28.Solve for x: 6(x + 7) = 3x + 96. What is x?
29. 29.Rohan has 22 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
30. 30.The length of a rectangle is 3 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
31. 31.A pen costs ₹8 more than a pencil. 2 pens and 6 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
32. 32.The length of a rectangle is 3 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
33. 33.Solve for x: 4(x + 4) = x + 34. What is x?
34. 34.Zoya has 27 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
35. 35.I think of a number, multiply it by 6 and then add 20. The answer is 158. What is my number?
36. 36.Solve for x: 3(x + 7) = x + 57. What is x?
37. 37.A pen costs ₹11 more than a pencil. 3 pens and 2 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
38. 38.Karan has 17 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
39. 39.Solve for x: 7(x + 3) = 2x + 71. What is x?
40. 40.The length of a rectangle is 14 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?

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