Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 945 · 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.Dev has 13 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
2. 2.I think of a number, multiply it by 6 and then take away 39. The answer is 87. What is my number?
3. 3.A pen costs ₹14 more than a pencil. 3 pens and 7 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
4. 4.A pen costs ₹12 more than a pencil. 3 pens and 8 pencils cost ₹212 in all. What does one pencil cost (in ₹)?
5. 5.Solve for x: 9(x + 1) = 3x + 81. What is x?
6. 6.Solve for x: 8(x + 7) = 5x + 62. What is x?
7. 7.2 × ? + 10 = 28
8. 8.Rahul has 17 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
9. 9.I think of a number, multiply it by 2 and then add 13. The answer is 17. What is my number?
10. 10.Solve for x: 3(x + 7) = 2x + 38. What is x?
11. 11.Solve for x: 4(x + 2) = 2x + 18. What is x?
12. 12.Solve for x: 9(x + 7) = 2x + 175. What is x?
13. 13.Saanvi has 24 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
14. 14.10 × ? − 3 = 17
15. 15.I think of a number, multiply it by 2 and then add 9. The answer is 67. What is my number?
16. 16.I think of a number, multiply it by 2 and then add 15. The answer is 23. What is my number?
17. 17.I think of a number, multiply it by 8 and then add 1. The answer is 145. What is my number?
18. 18.A pen costs ₹3 more than a pencil. 6 pens and 5 pencils cost ₹227 in all. What does one pencil cost (in ₹)?
19. 19.I think of a number, multiply it by 2 and then take away 3. The answer is 15. What is my number?
20. 20.Pooja has 10 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
21. 21.The length of a rectangle is 12 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
22. 22.Isha has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
23. 23.Solve for x: 3(x + 3) = 2x + 29. What is x?
24. 24.Karan has 28 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
25. 25.Solve for x: 4(x + 5) = 2x + 22. What is x?
26. 26.A pen costs ₹15 more than a pencil. 4 pens and 4 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
27. 27.2 × ? + 14 = 42
28. 28.Aarav has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
29. 29.Solve for x: 4(x + 5) = 3x + 28. What is x?
30. 30.The length of a rectangle is 14 m more than its breadth. Its perimeter is 148 m. What is its breadth (in m)?
31. 31.Meera has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
32. 32.I think of a number, multiply it by 9 and then add 10. The answer is 181. What is my number?
33. 33.I think of a number, multiply it by 7 and then add 36. The answer is 225. What is my number?
34. 34.I think of a number, multiply it by 6 and then add 5. The answer is 53. What is my number?
35. 35.The length of a rectangle is 6 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
36. 36.Nisha has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
37. 37.Solve for x: 6(x + 2) = x + 42. What is x?
38. 38.Solve for x: 7(x + 9) = 3x + 107. What is x?
39. 39.Solve for x: 7(x + 9) = 2x + 83. What is x?
40. 40.A pen costs ₹5 more than a pencil. 3 pens and 7 pencils cost ₹85 in all. What does one pencil cost (in ₹)?

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